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R Z sAllelS HrriAgwhitXsZ srFeAsveWruvOezdW. u w CMla AdUem Ewci2trhS PIzn sf2i AnQijt MeL LGde aokm fe 9t 3rhyp. t E nAvlGlD 3rui Tg phDtVsR Qrle9s3earpvRe 8dc. 4 L EMxa ld 4eJ Gw5iKtOha AIGn8f pienei lt Me4 oA fl PgReSb JrNaE c2 b. 1) lim x®-3p 4-sec (x) 2 Worksheet by Kuta Software LLC-2-Find the measure of each angle indicated. 6 M PMZafd CeI OwXiQtgh3 OIDnEfqimnUistYeQ WAqlIg beMbxr 7aR c2N. c Worksheet by Kuta Software LLC Kuta Software - Infinite Geometry Name_____ Inverse Trigonometric Ratios Date_____ Period____ Worksheet by Kuta Software LLC Trigonometry CP Unit Circle Worksheet Name_____ Date_____ Period____ ©g A2T0\1A7m VKeu[t[aV RS_oifOt^wraOrpeO ZLnLDCZ. ©2 H2I001 X1g CKrubt Ea5 SPo 0fSt 1w8aPrVeK dLuLiC E. 4 Worksheet by Kuta Software LLC 17) lim w→−2 (−w2 + 1) 18) lim w→0 (− w2 2 + 3w − 1 2) 19) lim x →3 2x + 3 20) lim t −2 (2t2 + 8t + 8) 21) lim w→ 3π 4 2cot Worksheet by Kuta Software LLC HPC Exact Value 6 Trig Functions Name_____ ID: 1 Date_____ Period____-1-Find the exact value of each trigonometric function. The bearing from A to C is 30 . 1. -1-Use the angle sum identity to find the exact value of each. 1) cos 330° 2) sin 300° 3) tan -30° 4) tan 0° ©f c2c0 y1Q1C 0KZutPa 1 DS1o rfotsw GaLrVeq xL OLxCl. ©f d2W0M1H36 CKyurt UaV iS o0fpt Xw3a4r ueJ fLzLqC 9. c Worksheet by Kuta Software LLC Kuta Software - Infinite Geometry Name_____ Inverse Trigonometric Ratios Date_____ Period____ Trigonometry worksheets promote an understanding of trigonometry concepts. 1 3 B CA q 17) 5. R T QMdadXe3 cw Xiot7hy JI 1n lf Wign tintweh jAIl Hg0e ObUrha U Y2Z. 19) 12 6A B C 20) 16 B CA 20° 21) 8 ©m p2 n0Z1 q2I 0K Pu htKaC ES8o Rf utGwoa4rUeV xLwLlC M. o Worksheet by Kuta Software LLC Kuta Software - Infinite Geometry Name_____ Trigonometry and Area Date_____ Period____ Installation is fast and simple. 1) -520° 2) -330° Applications of Trigonometry Find the size of θ in the diagram: Label the diagram carefully. f T mMaEd je2 rw Hi0t Vha 5Ion ef5i ln ji 1t eM dG6e aoqm be Jthr fyN. 7-3-Worksheet by Kuta Software LLC Answers to Trig: Finding Missing Sides and Angles Worksheet by Kuta Software LLC T. Round answers to the nearest tenth. shift: Up 3 Min: 8 3 Max Worksheet by Kuta Software LLC College Algebra Trigonometry Review Name_____ Date_____ ©M T2N0D1j8V OKduxttaW tSoowfxtkwqaRrBed NLILLCt. 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If you have any questions, comments or suggestions about this material, contact Mike Weimerskirch at weim0024@umn. 1) x 5 B A C 57° 2) 9. b 0 tAulclg xrQingphLtusg xreis Ce2r4v 1eQd9. g b gM da gdke N Lw6ixtWhX CIenWf4i on Pijt1e L TAHlWgfe rb UrTa0 m2O. h 8 e s 6 p 4 d t 3 K w o i N Z 8 r i h Y f Y E h 1 U M G g k C P R Q k c c K 5 5 v J L 3 c c j a W a W m k t 3 L S 2 D v g z z w J F 6 y w 6 e v 8 N 8 p J. 1) Worksheet by Kuta Software LLC Kuta Software - Infinite Precalculus Product-to-Sum Identities Name_____ Date_____ Period____ Write each product as a sum or difference with positive arguments. k d BArl ol N Qrli3gAhZt EsN Yr we 7sPeVrSv3eFdV. 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State the quadrant in which θ lies. Find the missing side. Questions 1 and 2 require Sine, questions 3 and 4 require Cosine, question 5 and 6 require Tangent. V Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ Using Trigonometry To Find Lengths Date_____ Period____ Worksheet by Kuta Software LLC-2-17) 17 x 61° 18) x 16 49° 19) 15 x 33° 20) x 69° 19 21) x 11 59° 22) x 15 59° 23) x 16 52° 24) 11 x 28° Find the length of the side labeled x. Worksheet by Kuta Software LLC Acc. o w mAblXlS 5r Mi4gQhUthsa VrReas3e2r evre BdU. M. 9 4. (Not height from the ground, just the sign. L h uMTaVdJeR QwGiLtTho UIin af0i4nFiIt 2ed iA TlIgSe Pb0r Na9 2X. When a single angle is given, it is understood that the bearing is measured in a clockwise direction from due north. 7. C 30 A 2. -1-Find the exact value of each trigonometric function. 7-5-Worksheet by Kuta Software LLC Answers to Angles in Standard Position Worksheet 1) x y 2) x y 3) x y 4) x y 5) x y 6) x y 7) 20 ° 8) 5° 9) 40 ° 10) 70 ° 11) 20 ° 12 Trig Worksheet – Bearings There are two ways to express a navigational heading or a “bearing”. 1) tan 17π 12 2) sin 19π 12 3) tan 13π 12 4) sin 7π 12 5) tan 7π 12 6) cos ©Q zKRuUtua0 HSbotfKtawgazr0eR 5LNLUCF. 8750 2) cos C 12 9 15 ©N L2r0Y1E6E [KfuotDay MSVosf\tLwgaWrgeZ SLYLOCl. Convert each decimal degree measure into degrees-minutes-seconds and each ©f d2W0M1H36 CKyurt UaV iS o0fpt Xw3a4r ueJ fLzLqC 9. p T mMYaudbel VwCiUtLhw ZIKn[fpiDnziYtTey wPErIegcMablrcdull_uis]. 23) cot q x y (-7, -3) 24) csc q x y (8, -15) 25) sec q x y (3, -12) 26) cos q x y (25, 4) Find the exact value of each trigonometric function. Determine the height of the sign. Then graph. r Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Double- and Half-Angle Identities Date_____ Period____ N k qA ilul5 NroiYghZtDsN Wrzezs Recr9v verdF. you will need to work out which to use and how! (Worksheet T1 may help you!!) 1. secx − tanxsinx = 1 secx 2. Show that the point is on the unit circle. Y Worksheet by Kuta Software LLC 31) 16 x 64° 32) x 20 55° Find the length of the side labeled x. 1) tan A 16 34 30 A B C 1. z Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Trig Ratios of General Angles Date_____ Period____ ©D 72 g061 U1Y 5K Uu Ptxat nSTozfHtKw4aDr Fe y yLzLpCJ. depression. Q e iAql wla srKiigXhft Bsk 6rPe osXewr lv ne AdI. K S FMQaxdZe W tw qiltyh b hIjn VfqiSnoi xt MeF gANlVgqeHbDrsa2 k1 9. Algebra 1, Unit #8 – Right Triangle Trigonometry – L3 The Arlington Algebra Project, LaGrangeville, NY 1 2540 Similar Right Triangles - Introduction to Trigonometry Algebra 1 Homework . The rest . 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M d mAQlyl 0 9rMiAgJhyt vs0 Rr9e ZsKePr Evje edm. Round your final answer to the nearest tenth. Download the set H 6 jM DaOdHeH tw fi ItVh 4 4I bn5f Wiln 6ilt 7ec iG geZoXm9e Vtxr Ey5. Find the measure of the indicated angle to the nearest degree. -1-Find all solutions to each equation in radians. d Worksheet by Kuta Software LLC Find the value of each trigonometric ratio to the n earest ten-thousandth. Y S sAdlrlp mrpiVgjhItrsS mrnejsgeMrIvaexdZ. 11 11) 10) 13 12) 11 600 ©d D270C1J1 A mKdu Ut6aG IS soCfHtuwPapr Fet DLuLyCz. Whether you want a homework, some cover work, or a lovely bit of extra practise, this is the place for you. 8750 2) cos C 12 9 15 ©L 0290k1 T28 dK pu 6txa g pSQoef8t uwza BrAed rL sL 1C r. 1) 110 ° x y 2) 290 ° x y Find the reference angle. g d MAFlCl^ brhi_gkhFtvsv mrzeMsOewr_vleTdv. Problems Date_____ Period____ R Worksheet by Kuta Software LLC Pre-Calculus 11 ID: 1 Name_____ Date_____ ©Z 7270Z1 a4 Y bKHuitla Y USXozfDttw ba mr3e 8 mL 5LoCB. 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V Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ Using Trigonometry To Find Lengths Date_____ Period____ Worksheet by Kuta Software LLC-2-Find the length of the side labeled x. 1) (2 3, - 5 3) Worksheet by Kuta Software LLC Kuta Software - Infinite Precalculus Trig Equations w/ Factoring + Fundamental Identities Create your own worksheets like this one with Infinite Precalculus. x Z tMha Kdfe s 0w8i6tYhg PIrnkf4i un jiZtOej kAxlJgte tb Urpa X B1 6. Warm- Up: Use the given point on the terminal side of angle q to find the value of the Worksheet by Kuta Software LLC-3-Use the given point on the terminal side of angle q to find the value of the trigonometric function indicated. 1) If sin , find cos ). 4 HAYlWlw PrEiDgJhet 2sy Krve1syemr av Ie dY. - Finding Missing Sides and Find the measure of each angle indicated. X Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Angle Sum/Difference Identities Date_____ Period____ Unit Circle Trigonometry Notes Name_____ Date_____ Period____ ©l [2^0g1F5B CKxuUtxaf mSqo^fmtMwCaTrzeM kLjL\Ca. Kuta Software. These include Worksheet by Kuta Software LLC Pre Calculus Double Angle and Half Angle Notes Name_____ Date_____ Period____ ©c X2I0Z1K8x `KwuJtwa[ ASKokfKtlwmanriec JLkL^C[. secθsinθ tanθ+ cotθ = sin2 θ 4. 0 Trigonometry Review Draw an angle with the given measure in standard position. J D xMSad7eH kw Ti atrh6 vI rnAfqiEnciYtje 5 PAtl Ygae xb Lrwat E2 Z. o u QABl6l 7 ur Dijg ihQt6s2 crqe 7sneXrzvbe ZdA. E Worksheet by Kuta Software LLC Use a half-angle identity to find the exact value of each expression. Use the rounded values to calculate the next value. E F fMOavd qe7 fw xintLh g DI0nIf giRnui 2tgeQ OAKlMgde cb0r Ba9 01 i. D s hA Ylil Q Wraigyh8t Fsd Frke vsCemrXvReXdh. Use each trial for up to 14 days. x S bAHluls nruiKguhNtasj nrqeJsueOrZvneWdO. 35) 46 ©7 02r0 e1a4 Y nK ru Nt2a D ZSTo RfVtFw fa Yr8e I qL 0LCq. V Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ Using Trigonometry To Find Lengths Date_____ Period____ Worksheet by Kuta Software LLC Precalculus CP Unit Circle Worksheet Name_____ Date_____ ©w K2O0v1A8b oKluqtaaS VSEotfptLwjaErcet cLVLmCe. V a ZAClclL BrgipgDhMtPsH mr_ebsCewruvLepds. Round your answers to the nearest ten-thousandth. v Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ The Law of Sines Date_____ Period____ Worksheet by Kuta Software LLC Precalculus Verifying Trig Identities Name_____ Date_____ Period____ ©U a2D0g2k0B xKqujtlaP KSwoefutmwIajrFeg PLuLzCr. 9-4 Trig & Pythagorean Theorem mix up Name_____ ID: 1 Date_____ Period____ ©C Z2^0U1b7q AKpuAtZaO oSGoRfRttwYaHrFej aLpLSCW. S U KAsl bl 7 9rJi pg Fhct qsN Ar je vs QeXrNv6e 4dg. 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Identities (basic) (ID: 1) 1) tan2x - sec2x cosx Use tan2x + 1 = sec2x-1 cosx Use secx = 1 cosx-secx 2) tanx + secxDecompose into sine and cosine sinx cosx + 1 cosx Simplify 1 + sinx cosx 3) secx sin3x Use cscx = 1 sinx csc3xsecxUse secx = 1 cosx csc3x cosx Algebra 1, Unit #8 – Right Triangle Trigonometry – L3 The Arlington Algebra Project Q 5Apl cl F 1rxi lg Uhotds T or Ye8sWe1r FvUePdl. 1) tan-1 (-3) 2) sin-1-3 2 3) cos-1-3 2 4) cot-1-3 3 5) cot-11 Sail through these trigonometry worksheets on topics like quadrants and angles, conversion of degrees and radians, reference and co-terminal angles, trig ratios, trig identities, unit circle and more! Main Menu Math Language Arts Science Worksheet by Kuta Software LLC Algebra 2 17. P Worksheet by Kuta Software LLC Answers to Coterminal Angles 1) 355 ° and −365 ° 2) 365 ° and −355 ° 3) 405 ° and −315 ° 4) 315 ° and −405 ° 5) π 2 ©R S2O0o1Y2n K uItCa F XSRoOfAtewSadr7el nL3LDCH. -1-Use a double-angle identity to find the exact value of each expression. Trigonometry: Law of Sines, Law of Cosines, and Area of Triangles Formulas, notes, examples, and practice test (with solutions) Topics include finding angles and sides, the “ambiguous case” of law of Sines, vectors, navigation, and more. 5 x B A C 47° 3) 9 x A B C 39° 4) x 2 B A C 62° 5) x 16 A C B 40° 6) 14 x B A C 22° 7) x 2 A B C 26° 8) 2 x A C B 40° 9) x 9 A B C 47° 10) 16 x B A C 25° 11) x 3 A B C 74° 12 ©W T2K0 51k3H yKuytZan wSCo8f Stcw Ma4r2e U XLMLeC C. Infinite Algebra 2. Find the exact value of each trigonometric function. x . -1-Find the value of each trigonometric Introduction to Trigonometry DATE PAGE TOPIC HOMEWORK 1/22 2-4 Lesson 1 : Incredibly Useful Ratios Homework Worksheet 1/23 5-6 LESSON 2: Using Trigonometry to find missing Special Right Triangles Homework Worksheet 1/30 Class Work Finish Class Work 1/31 14-15 LESSON 6: Practice with Regents Questions Review Worksheet 2/1 Review Ticket In H 6 jM DaOdHeH tw fi ItVh 4 4I bn5f Wiln 6ilt 7ec iG geZoXm9e Vtxr Ey5. y . a 9 5Atl VlU r0i3ggh HtNsH Tr me2sve fr rvSe 1dD. D X tAhlRlF ^ruiUgehIt]sX BrOeOs\efrSvQehdg. 1) cos − 5π 4 2) tan − 4π 3 3) sec −60° 4) cos −330° 5) cot 90° 6) cot 5π ©5 i2t0 q152 2 vKMuMtxah 4SSoif KtNwxa5r Se6 TL OLiC r. Worksheet by Kuta Software LLC Kuta Software - Infinite Precalculus Sum and Difference Identities Name_____ Date_____ Period____-1-Find the exact value of each. M s QMdawd3e7 DwciJt VhU WIbn XfJiQnLivtSe3 1C4a 3l bc Vuol4uWsr. 1) Name_____ Worksheet #2 - Solving Right Triangles Date_____ Period____ Solve each triangle. b i wMQa5d LeD Cw9igtyh V zI Un rfFi Ynyi MtAe3 3GkeJoDm3ewtFr9yW. 22 So θ = 47 0 nearest degree Worksheet by Kuta Software LLC Trigonometry Law of Sines/Cosines/Area~ Review Name_____ ID: 1 Date_____ Period____ ©H P2F0c1d8M rKIu`tSaw bSrolfLtPwnaorreg wLwLhCm. x h 0M 8a 7d 3ee mwEi8tnh c vIrn zfLi LnPiHtUeA vANlkg eXb1rzaj d1y. You are looking for angle 'C' a 2 + b - c 2 = cos C 2ab 12 2 + 10 - 9 2 = cos C 2 x 12 x 10 Substitute in the values: 144 + 100 - 81 = cos C 240 163 = cos C 240 Use your calculator (press 'shift' key first!) C = 47. N Worksheet by Kuta Software LLC Kuta Software - Infinite Calculus Name_____ Evaluating Limits Date_____ Period____ Evaluate each limit. -1-Find each measurement indicated. - Evaluating Trig. u w 5A fl vlo Pr tiGgkhct dsR OrYejs kebr BvYeSd M. The angle of elevation to the bottom of the sign is 39°. 1 -360 94. Worksheet by Kuta Software LLC Answers to Graphing Sine and Cosine Trig Functions WS #3 1) Amplitude: 3 Period: p 3 Phase shift: Right p 36 Vert. H g CAHlGlA Pr CiAgRh atqs v rxevsve3r RvceOd8. Q Worksheet by Kuta Software LLC Kuta Software - Infinite Geometry Name_____ Angles in a Triangle Date_____ Period____ ©X x2 B0X1X2p 5Ktu Ltxa f fS 5o of4t Mwpafr 5eD OLoL9C T. shift: Up 3 Min: 0 Max: 6 2) Amplitude: 2 Period: 14p Phase shift: Left 21p 4 Vert. Free trial available at KutaSoftware. 1 B TA 5l rl Z or liJg6h 4tis O jr XeHswedr wvNeTd 1. 7 12 13 14 13 11. P u JAplnlj yr_iCgBhptds` Ur[elsdefrovZeadM. I Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ Using the Quadratic Formula Date_____ Period____ Trigonometric Ratios Of Special Angles Worksheet With Answers Pdf – Angle worksheets are a great way to teach geometry, especially to children. H u OALl`lp irziMgbhotbsB vrOeGsueJrUvSeodq. B M EA wl5lD 2r Yilg Shdt esv RrJeLsye2r7vge xd g. Worksheet by Kuta Software LLC Math Analysis Honors Worksheet 102 - Solving Trigonometric Equations Name_____ Date_____ Period____ ©k U2[0u1S5n mKzumtIao AShosfktawyaNrue] Find the value of each trigonometric ratio using a calculator. ©f c2c0 y1Q1C 0KZutPa 1 DS1o rfotsw GaLrVeq xL OLxCl. B N aAxlylS xrcitgQhftXsH FrQeCsjevr_vweBdq. -1-Find the value of each trigonometric ratio to the nearest ten-thousandth. g Worksheet by Kuta Software LLC 13) −1 + sin θ = −2 + 2 2 {π 4, 3π 4} 14) 1 = −tan θ {3π 4, 7π 4} 15) −8sin θ = 4 2 {5π 4, 7π 4} 16) 4 3 = −8cos θ {5π 6 Worksheet by Kuta Software LLC-5-Find a positive and a negative coterminal angle for each given angle. 7) cos θ = 12 13 and 3π 2 < θ < 2π Find tan θ 2 8) cos θ = 4 5 ©z 62f0 q1i2 J XKugt6aa ASTo1f ntVwua KrDeB WLfL xC m. Worksheet by Kuta Software LLC Precalc/Trig Law of Sines Ambiguous Case Name_____ ID: 1 Date_____ Period____ ©F y2E0_1U5N hKLu^t^aX ^SkowfztEwda^r_eg mLRL`CQ. X u pA jl1lM Wr2iZgShwt2s6 jrYePsieErDvQe0dd. 9 X 0A Fl xl R 0rZizgVhyt Js 4 CrDeespe4r Yv4eFdd. h T JM KaHdMeD jw Tistyh 0 cI7n7fli KnQidt Geu cAzl gPerb arqa b 62p. Create your own worksheets like this one with Infinite Algebra 2. secθ cosθ − tanθ cotθ =1 5. L Worksheet by Kuta Software LLC Kuta Software - Infinite Calculus Name_____ Integration - Trigonometric Functions Date_____ Period____. t E nAvlGlD 3rui Tg phDtVsR Qrle9s3earpvRe8dc. t Worksheet by Kuta Software LLC Kuta Software - Infinite Geometry Name_____ Similar Triangles Date_____ Period____ State if the triangles in each pair are similar. a j wANlTli mr\iYgOhrtBsu qr]eisfeXrPvpeude. 4 Worksheet by Kuta Software LLC Algebra 2 Soh-Cah-Toa Day 1 WS Name_____ ID: 1 Date_____ Hour____-1-Find the value of the trig function indicated. Z r H A il O lW E rF irgU h7tfsf 7rteis m evrY vveQ dz. L Worksheet by Kuta Software LLC Kuta Software - Infinite Calculus Name_____ Integration - Trigonometric Functions Date_____ Period____ ©G y2 T0t1 92l jK DuZtja F LSgouf gtLwpaVr2e b 5LJLmCI. K 5 CMoaBd9e8 5w AiAtgh M vI qn Ef6i 7n Ni8tre 7 QGYeXoEm9eatyr Qyf. These worksheets contain 10 types of questions on angles. Mathplane. Infinite Pre-Algebra Infinite Algebra 1 Infinite Geometry Infinite Algebra 2 Infinite Precalculus Infinite Calculus Kuta Works Compare Topics Free Worksheets Infinite Pre-Algebra Infinite Algebra 1 Infinite Geometry Infinite Algebra 2 Infinite Precalculus Infinite Calculus Worksheet by Kuta Software LLC Kuta Software - Infinite Precalculus Inverse Trig Functions Name_____ Date_____ Period____-1-Find the exact value of each expression. Worksheet by Kuta Software LLC . 1) cos sin 2) cos cos 3) cos cos 4) sin cos ©R S2O0o1Y2n K uItCa F XSRoOfAtewSadr7el nL3LDCH. x Worksheet by Kuta Software LLC Kuta Software - Infinite Geometry Name_____ Special Right Triangles Date_____ Period____ Free Calculus worksheets created with Infinite Calculus. Z R CAelalX PrYi^gzhUtnse mrhejsZe[rivceCdO. 1) tan θ 20 12 16 θ 2) sin θ 13 5 12 θ 3) cos θ 1517 8 θ 4) tan θ 85 8 16 θ 5) sin θ 20 12 16 θ 6) cos θ 25 20 15 θ Find the measure of each side indicated. b Worksheet by Kuta Software LLC-4-Answers to Trigonometry Review 1) IV 2) IV 3) x y 4) x y 5) 50 ° 6) 60 ° 7) 15 ° 8) 40 ° Free Algebra 1 worksheets created with Infinite Algebra 1. 7 P PMya 6dPe G Zw 0i Pt Jht XIBnzfji Cnviotte o YAElgLe 6b9r8aM n22. T D vAClTlU nrpiigJhytksz krZezsCemr`vaeYdF. g Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Exact Trig Values of Special Angles Date_____ Period____ ©8 P2M0e1E2 y yK6uKt1a R Sbo6fFtSwaorSe0 WLKLtC C. z v EA 9lSl z Pr Cipg mhYtwsI 2rfe is Fe 5r Kv oeHd4. 2 K FM BaTdie G xwZimt ohH xIKn9f ti6nGi8t 2ez qA Rl7g 1ewbDrga4 02 S. a P BMBahdAe H iw2iJtLh f lI9nJfci ZnXiVtJe X qABlRgme4bXrsa M k2 K. n L kA el Glm 9r6iegnh ptLs g CrmeOsne ur av BeQdo. x Z tMha Kdfe s 0w8i6tYhg PIrnkf4i un jiZtOej kAxlJg tetbUrpa X B16. -1-Find the missing side lengths. 45) - 3p 4 46) 71p 12 Factor each completely. 11) cos 270° 7π . ©5 D2H041F3 l AKiu2t ya4 0SZorf htfw Maorhe K vL9L 9C p. Duncan ID: 1 Name_____ Sine, Cosine, and Tangent Practice Find the value of each trigonometric ratio. shift: Down 3 Min: -5 Max: -1 3) Amplitude: 1 3 Period: 2p 3 Phase shift: Left 2p 9 Vert. -1-State the number of possible triangles that can be formed using the given measurements. U A 8MWaVdBe u TwFiWtkh8 6IOnCf Vion Xist Ueg FA 2lag je rb DrfaO 12 2. 2: Reference Angles and Evaluating Trig Functions without a calculator Name_____ ID: 1 ©Q S2W0L1H6l GKruBtQaz bSUohfLtswQa]rMeP oLDLECR. s z IA vl Vls fr 8ieg Uh2tHsG or8e RsUeGrGvHebdu. Q i GAllvlr XrSiBgghstzs\ Sr^eqsPeQrcvreNdR. Find the exact value of each expression. 9 Find the measure of each side indicated. R Z sAllelS ©R S2O0o1Y2n K uItCa F XSRoOfAtewSadr7el nL3LDCH. Worksheet by Kuta Software LLC Algbera 2/2 CD TRIGONOMETRY REVIEW-SOH CAH TOA Name_____ ©\ J2O0C2g0f FKTu`t[aF TSPoqfPt`wPaXrIei oLsLNC^. 1 ©L 0290k1 T28 dK pu 6txa g pSQoef8t uwza BrAed rL sL 1C r. 4 %âãÏÓ 20 0 obj > endobj xref 20 36 0000000016 00000 n 0000001312 00000 n 0000001375 00000 n 0000001569 00000 n 0000001588 00000 n 0000001765 00000 n 0000001901 00000 n 0000001938 00000 n 0000002025 00000 n 0000002502 00000 n 0000003058 00000 n 0000003577 00000 n 0000004096 00000 n 0000004939 00000 n Trig Identities worksheet 3. Trigonometry by Mike Weimerskirch and the University of Minnesota Board of Regents is licensed under a Creative Commons Attribution-NonCommercial 4. o P HA6l 9l O 1rAiHgzh GtKsf er wexsxeqrdv2esd8. B Worksheet by Kuta Software LLC Worksheet by Kuta Software LLC MODULE 15 SUM, DIFFERENCE, DOUBLE & HALF ANGLE IDENTITIES Name_____ ©i z2x0u1n4x vKrugtBaB bSwoHfotwwiayrieN NLrLNCl. 2 Worksheet by Kuta Software LLC Kuta Software - Infinite Calculus Name_____ Implicit Differentiation Date_____ Period____ K S FMQaxdZe W tw qiltyh b hIjn VfqiSnoi xt MeF gANlVgqeHbDrsa2 k1 9. -1-Solve each triangle. E o 6M RafdGe P Owhi Mt0h T YIUnYf2i2nSi4t Xex RCFa pl3cEuAleu2s9. cos2 y − sin2 y = 1−2sin2 y 6. Your options are: Opposite, Adjacent, Hypotenuse. l ] bAcldli qrpiXgZhwtOsx HrrepsVeHrivWewdx. 9 Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Right Triangle Trig. -1-Evaluate each limit. 1) Find mC 35 in B23 in C A 86° 2) Find mC 20 yd 22 yd C BA 45° ©n C2v0Z1 q2v wKzu2t 8az aS Po pfpt vwDaArue t FLKLfC 2. R 9 kA 5l cl b Kr0iYg7hptas 2 ir pe6sfer5v Leod g. T d EAflplO zruiLgehftxst IrBe`sFe\rwvZeIdc. Then sketch the graph. Title: document1 Author: Mike Created Date: Worksheet by Kuta Software LLC-3-Answers to Verifying Identities 1) sinx + cscx cscx Decompose into sine and cosine sinx + 1 sinx 1 sinx Simplify sin2x + 1 2) cotx - sinxDecompose into sine and cosine cosx sinx - sinxSimplify cosx - sin2x sinx 3) 1 - cscx cscx Decompose into sine and cosine 1 - 1 sinx 1 sinx Simplify sinx - 1 4) 1 1 + tanx Free Geometry worksheets created with Infinite Geometry. Z r HAil OlW ErFirgUh7tfsf 7rteismevrYvveQdz. J 9 JA 9lvlp 0r yiFgNh3t xsw cr tesre 9rcv geHd f. elevation. com Free Geometry worksheets created with Infinite Geometry. Tackle these two-part pdf worksheets featuring exercises to express a trigonometric function as an acute angle less than 45 o or π/4 in Part A and greater than 45 o or π/4 in Part B. H B pM Na9dmeP Qwyi7tohr HIon Yf4ianZi ut NeO SA5legIe xb lr6a L c22. Some may be undefined. z Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Trig Ratios of General Angles Date_____ Period____ Worksheet by Kuta Software LLC-4-Answers to Trig, Product and Quotient Rule Practice (ID: 1) 1) dy dx = (−4x2 − 3) ⋅ −csc3x4cot3x4 ⋅ 12x3 + csc3x4 ⋅ −8x Worksheet by Kuta Software LLC Kuta Software - Infinite Precalculus Product-to-Sum Identities Name_____ Date_____ Period____ Write each product as a sum or difference with positive arguments. Round to the nearest tenth. F 8 iAMlglg 2rJirgLh Dt7s 0 XrZeVs9e Brkv qedy. 8 Worksheet by Kuta Software LLC ©5 i2t0 q152 2 vKMuMtxah 4SSoif KtNwxa5r Se6 TL OLiC r. 8750 2) cos C 12 9 15 Worksheet by Kuta Software LLC Geometry Trigonometry Practice Name_____ ©I d2D0j1R6g gKQuytxaw zS[ovfPtwwPamrteN BLdLKCD. 9 degrees, then the other angles are 180 - 94. Your options are: Opposite, Adjacent Worksheet by Kuta Software LLC Algebra 2 Graphing Trig Functions Phase and Vertical Shifts Name_____ ID: 1 Date_____ Period____ ©l C2W0g1c5v lKNuFtPai \SYoffwtAwkaFr]ez SLcLrCr. c _ AMOamdbeV cwbiQtChX rIpnMfoipngiptjez zPzrUe\cWaJlWcEualGuPsM. The other system starts with a north or south line and uses an acute TRIGONOMETRY APPLICATIONS ANGLES OF ELEVATION AND DEPRESSION ANGLE OF ELEVATION ANGLE OF DEPRESSION . Products Free Worksheets Infinite Pre-Algebra Infinite Algebra 1. 33) 50 22° x 41° 34) 48 x 25° 59° Find the area of each triangle. 1) sinq = 3 5 and 90° < q < 180° ©R 8KguCt9aK YSAoJfvtmwja xrlel SLlL sCw. 8 Worksheet by Kuta Software LLC PMath 10 - Mr. 1+ cosx sinx = cscx +cotx 3. 8 Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Arc Length and Sector Area Date_____ Period____ Worksheet by Kuta Software LLC Algebra 2 Homework Trigonometry Unit Circle Sine Cosine Tangent (UCSCT5) ©t Z2e0H1m6O qKiuEtwag qS`oCf`tJwjaurEey FLcLVCB. 1) y = sin (θ − 135) 90 ©3 M2H01n2 G tK fu7t UaM jSZoaf Stgw za 4r Ge8 4L9LWCo. R e BAllJlc arXiMgEhxt\s` TryehsveprKvSeKd^. w Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Graphing Rational Functions Date_____ Period____ Worksheet by Kuta Software LLC Answers to Double angle trigonometric Identity 1) 2sinxcosx − cos2xUse cos2x = 1 − 2sin2x 2sinxcosx − 1 + 2sin2xUse sin2x = cos 2sin2x − 1 + sin2x 2) cos2x + tan2xsin2x Use cos2x = cos2x2− sinx sin2xtan2x + sin2x + cos2xUse tan2x2+ 1 = secx sec2xsin2x + cos2x 3) 2sin2x tanx Use tanx = sinx cosx Worksheet by Kuta Software LLC Geometry Right Triangle Trigonometry - Finding Angle Measures Name_____ Date_____-1-Step One: On each diagram below, label each side according to the position of the reference angle. 1) x 20 y Worksheet by Kuta Software LLC Honors PreCalculus Graphing Sine/Cosine Trig Functions WS #1 Name_____ Date_____ Period____ ©h B2_0m2L0q rKFuKthai WSpolfDtTwnaLrSeY wLdL\Cz. 0 International License, except where otherwise noted. 5 Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ Finding Trigonometric Ratios Date_____ Period____ Find the value of each trigonometric ratio to the nearest ten-thousandth. 1) tan A = 2. Open main menu. k Y ZAkl4ld 8r Bifg Qh1t asI Pr6e ZsoeJrjv je MdR. Infinite Precalculus Trigonometry Concepts Review 2(a)(b)cosC 360cosc C = 94. The questions included in the worksheet are based on solving trigonometric identities, deriving trigonometry formulas, understanding trigonometry elements such sines, cosines, etc. Find the values of the six trigonometric functions of θ given the constraint on the angle. Create your own worksheets like this one with Infinite Algebra 1. \ [ DAmlVlf JrBikgMhvtLsu Ur`eIs]eHrivmeqdI. b Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Solving Multi-Step Equations Date_____ Period____ Worksheet by Kuta Software LLC Answers to Graphing Sine and Cosine Trig Functions WS #3 1) Amplitude: 3 Period: p 3 Phase shift: Right p 36 Vert. The angle of elevation to the top of the sign is 45°. E Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name_____ Area of Triangles Date_____ Period____ ©X p2 f0H1 Q3g vKuIt FaU wSZohf4tuw AaJrpeh xLwL 1Cr. 25) x 35°42 K S FMQaxdZe W tw qiltyh b hIjn VfqiSnoi xt MeF gANlVgqeHbDrsa2 k1 9. -1-State the quadrant in which the terminal side of each angle lies. dammsy qtavfmg zxnnb dllqx waokzm ujne cdqnjd lmi jgoke vdfnva