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Trigonometric functions worksheet kuta 17) cos U = 0. 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. -1- Using degrees, find the amplitude and period of each function. -1-Find the value of the trig function indicated. 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) f(x) = tan−1(5x4 + 3)3 2) f(x) = csc−12x3 3) y = (cot−15x5)4 4) y = sin−13x3 5) y = cos−12x2 6 Trig: Finding Missing Sides and Angles Find the value of each trigonometric ratio as fractions in their simplest form. Infinite Geometry Graphing trig functions; Simple M Worksheet by Kuta Software LLC Kuta Software - Infinite Geometry Name_____ Trigonometric Ratios Date_____ Period____ Find the value of each trigonometric ratio. 8746 18) tan Z = 2. Then sketch the graph. K Worksheet by Kuta Software LLC Kuta Software - Infinite Calculus Name_____ Integration by Substitution Date_____ Period____ Graphing Rational Functions Date_____ Period____ Identify the points of discontinuity, holes, vertical asymptotes, x-intercepts, and horizontal asymptote of x N XAcl Qlu 5rRi5g mh8tRsC urie ls Aesr TvweHdv. J 4 ZM ia Pd Re7 kweit6hg 0I kn WfaiTn4i Pt deH wC3a Alzc Pu rlauFs 5. c Worksheet by Kuta Software LLC Kuta Software - Infinite Geometry Name_____ Inverse Trigonometric Ratios Date_____ Period____ Infinite Precalculus covers all typical Precalculus material and more: trigonometric functions, equations, and identities; parametric equations; polar coordinates; vectors; limits; and more. p f BAmlWlV dr tiugyh 2twsT orie YsKesr VvLexdA. R 9 kA 5l cl b Kr0iYg7hptas 2 ir pe6sfer5v Leod g. 11) sin cos cos sin 12) sin cos cos sin 13) cos xcos x sin xsin x 14) tan u tan u tan utan u Write each trigonometric expression as an algebraic expression. 11) cos Z Y 12 9 36 A 14) tan A C 30 A 20 19) sin 48deg 21) cos 61deg 0. m Worksheet by Kuta Software LLC Kuta Software - Infinite Calculus Name_____ Differentiation - Inverse Trigonometric Functions Date_____ Period____ Differentiate each function with respect to x . 3) cos A 30 40 50 A C B 4) tan Z 48 14 50 Z Y X Find the missing side. -1- Find the amplitude, the period in radians, the minimum and maximum values, and two vertical N k qA ilul5 NroiYghZtDsN Wrzezs Recr9v verdF. 1) csc θ x y (−2, −3) 2) csc θ x y (−8 Differentiate each function with respect to x. mathworksheets4kids. E U rMJazdke 9 dwFiotCh6 wIVn ufri Ynzi8tGe i WAUlDgmekb mr6aO 02 2. Free Trignometry worksheets includes visual aides, model problems, exploratory activities, practice problems, and an online component Worksheet by Kuta Software LLC Algebra 2 Graphing Trig Functions Review Name_____ Date_____ Period____ ©i b2t0a1F8v SKIujtmaY KSGorfjtIwraVroed hLmLeCs. 4751 19) cos B = 0. Free trial available at KutaSoftware. T Worksheet by Kuta Software LLC 9) cos A 27 36 45 A B C 0. N m DAul[lX PrMiegnhetKsY ZrRessbe\rcvuerdp. 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I Worksheet by Kuta Software LLC Kuta Software - Infinite Calculus Name_____ Differentiation - Natural Logs and Exponentials Date_____ Period____ 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 -2-Worksheet by Kuta Software LLC Step Three: Complete the same processes as practiced in Steps One and Two. 2 1) tan θ . Create customized worksheets in a matter of minutes. 19) cos 135° 20) sec 30° 21) sin 855° 22) cos -450° 23) csc -90° 24) cos -1020° 25) cot 210° 26) cos 480° 27) sin 0° 28) csc -990° Free Calculus worksheets created with Infinite Calculus. 6. 1 0. 1 Worksheet by Kuta Software LLC PCM 40S - Chapter 2 ID: 1 Name_____ Trigonometric Functions of Any Angle Date_____ Use the given point on the terminal side of angle ©W 2X0N1u3f YKBuBtMav uSToJfbttw Na2rJe N kLTL1C i. f ( x) = sin 2 x3. HINT REWRITE WITH SINGLE TRIG FUNCTION HINT SQUARE & CONVERT TO QUADRATIC TYPE 5. 1) y = (−4x2 − 3)csc3x4 2) y = (−x2 + 2)cot4x5 3) y = (−3x3 − Worksheet by Kuta Software LLC-2-4) ©A 42 C0z1l2 b fK Ju Stza N HSZo hfot AwIa Vrqe p IL 0LlC D. Then differentiate the function. s t xM pa mdDeo 7w liWtdhl GI Nn fXi pn9i 0t XeP iG MemoMmye MtprWys. -1-Find the exact value of each trigonometric function. 1) tan Z 28 21 35 Z Y X 3 4 2) cos C 16 34 30 C B A 8 17 3) sin C 21 28 35 C B A 4 5 4) tan X 24 32 40 X Y Z 4 3 5) cos A 30 16 34 A B C 15 17 6) sin A 24 32 40 A C B 4 5 7) sin Z 32 J D xMSad7eH kw Ti atrh6 vI rnAfqiEnciYtje 5 PAtl Ygae xb Lrwat E2 Z. 01 0. ©8 b2B0Z1 62E 9KeuWtUa 2 7Sqozfst6w la Wrve H EL QLsC0. Printable in convenient PDF format. n Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Translating Graphs of Trig Functions Date_____ Period____ Using degrees, find the amplitude and period of each function. 0353 2) cos -0. ©8 P2M0e1E2 y yK6uKt1a R Sbo6fFtSwaorSe0 WLKLtC C. -1- Find the amplitude, the period in radians, the minimum and maximum values, and two vertical Free Algebra 1 worksheets created with Infinite Algebra 1. Y Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Right Triangle Trig. n Worksheet by Kuta Software LLC Kuta Software - Infinite Calculus Name_____ Evaluating Limits Date_____ Period____ Evaluate each limit. y Worksheet by Kuta Software LLC-5-Answers to Trig Ratios Practice 1) 0. . Trigonometric Functions of Any Angle Date_____ Use the given point on the terminal side of angle θθθθ to find the value of the trigonometric function indicated. 2 Evaluate trig functions without the use of a calculator Name_____ ID: 1 ©n T2W0g1y6H aKAuVt^aJ dSUoTfnthwuaVrxei QLyLWCS. 33334 −0. s Worksheet by Kuta Software LLC Kuta Software - Infinite Calculus Name_____ Integration by Substitution Date_____ Period____ Worksheet by Kuta Software LLC Calculus Derivatives and Integrals of Inverse Trig Functions Name_____ Date_____ Period____-1-Differentiate each function with respect to x. X Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Angle Sum/Difference Identities Date_____ Period____ Worksheet by Kuta Software LLC Algebra 2 HW #11 Reciprocal Trig Functions Name_____ ID: 1 Date_____ Hour_____-1-Find the exact value of each trigonometric function. Evaluate this limit using a table of values. Then graph. Answers to Inverse Trig functions (ID: 1) 1) 69° 2) 87° 3) 27° 4) 34° ©W 92 k0a1e2 H GKUuMtDad mSMoGf4t ywkawrqeA pLgLrCb. Infinite Geometry. k z JAulzld CrZiwg[hbtLsH CrgensgeDrovueVdY. L d ZMLaedme4 LwBibtqh 4 HIhnXfNiPn1iNtuek nC uaSlVcunl eu isQ. 1) If sin , find cos ). 6 O oM raDdGeH jw xiNtPhp OIFn Sf6i wnMiKtKeG RAFlcgTeZbEr0a S 2W. n L kA el Glm 9r6iegnh ptLs g CrmeOsne ur av BeQdo. Differentiate each function with respect to x. -1- Using radians, find the amplitude and period of each function. v L vAJlyln prbiegKhxtVsN frpeXsheorIvqeGd`. Kuta Works - Option to hide answers and results from students until after due date; New: Kuta Works Trig units for piecewise functions and ordered pairs; Fixed: Graphing Rational Functions - Prevent equivalent choices; Answers - Calculus 1 - Limits - Worksheet 5 – Limits Involving Trig Functions 1. These worksheets will help you learn how to simplify and find the values of different trigonometric functions. N B dM0aAdreI dwei3tJhH CI8nWfli pn0iCtYeV mGWeMo5mMeFtCr4yk. 1) sec θ 17 8 15 θ 2) sec θ 13 5 12 θ 3) cot θ 5 3 4 θ 4) csc θ 17 15 8 θ 5) csc θ 16 2 24 8 θ 6) cos θ 21 7 14 2 θ 7) cot θ 25 15 20 θ 8) tan θ 24 22 2 23 θ Evaluating Trig Functions (use a Calculator!) Name_____-1-Use a calculator to find each. K Worksheet by Kuta Software LLC Kuta Software - Infinite Calculus Name_____ Integration by Substitution Date_____ Period____ Directions: Solve each trigonometric function IN THE INTERVAL [0,2𝜋). ©Y 62 V0c1l3 B 2Kguit 9aN CSGoHfjt 1w xa xrye 2 gLbLDCb. com Find the derivatives of trigonometric functions: =4sin +5cos =sin cos =2sec +tan = Derivatives of Trigonometric Functions . 1) y = cos −1−5x3 2) y = sin − G 3 3A Clul O 2rli Hgih it ls 5 4r de4s YeVrTvmeodM. K Q UAWlhll Nrii`gghhtYse brgeAs`eDrZvaecdN. L Worksheet by Kuta Software LLC Kuta Software - Infinite Calculus Name_____ Integration - Trigonometric Functions Date_____ Period____ Worksheet by Kuta Software LLC Kuta Software - Infinite Precalculus Inverse Trig Functions Name_____ Date_____ Period____-1-Find the exact value of each expression. P Worksheet by Kuta Software LLC Kuta Software - Infinite Calculus Name_____ Trigonometric Functions Date_____ Period____ Differentiate each function with respect to x. t Worksheet by Kuta Software LLC Kuta Software - Infinite Calculus Name_____ Derivatives of Inverse Functions Date_____ Period____ 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. 6157 4) 0. Algebra 2 Evaulate Trig Ratios Given a Point Name_____ ID: 1 Date_____ Period____-1-Use the given point on the terminal side of angle θ to find the value of the trigonometric function indicated. 33333 −0. 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(You will need to use pythagorean theorem to find the missing side length) 1) csc q 16 13 q 2) csc q 629 q 3) sec q 2524 q 4) cot q 86 10 q 5) csc q 10 6 q Worksheet by Kuta Software LLC Precalculus Graphing Trig Functions Practice Name_____ Date_____ Period____ ©i b2C0W1W6f kKvugtmas ]SsoFfwtUw[aTrDel nLSLgCz. 2 Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ A recollection from geometry that an accompaniment is apparent as two angles whose sum is 90° These worksheets explain how to solve for cofunctions and how to simplify expressions containing cofunctions. T T wAflYlg GrJiegrhEtTsi jrGessieLrUvlezda. F T xA2l DlM 9r 7i Pg Yh8t1s q BrLe Ws0eKrav bede. k Y ZAkl4ld 8r Bifg Qh1t asI Pr6e ZsoeJrjv je MdR. Some may be undefined. 7 Worksheet by Kuta Software LLC Kuta Software - Infinite Geometry Name_____ Trigonometry and Area Date_____ Period____ Graphing Trig Functions Date_____ Period____ Using degrees, find the amplitude and period of each function. 1) f (x) = sin 2x3 f '(x) = cos 2x3 ⋅ 6 Finding Trigonometric Ratios Date_____ Period____ Find the value of each trigonometric ratio to the nearest ten-thousandth. 1) tan θ; (3, 4) 2) sec θ; Create your own worksheets like this one with Infinite Algebra 2. Show work when reducing or rationalizing denominator. - Finding Missing Sides and AnglesDate Kuta Software - Infinite Algebra 2 Name_____ Right Triangle Trig. Use your unit circle. 4848 Critical thinking Kuta Software - Infinite Algebra 2 Name_____ Exact Trig Values of Special Angles Date_____ Period____ Find the exact value of each trigonometric function. n Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Trig Ratios of General Angles Date_____ Period____ Find the exact value of each trigonometric function. 1) tan A 16 34 30 M l SMRaFdDeL twhiDtyhe HIMnfJi Vndi Rt OeE OAHllg TeQbNrHaX F1Y. Many answers: Ex y = (((2x + 1)5 + 2) 6 + 3) 7 dy dx = 7(((2x + 1)5 + 2) 6 + 3) 6 ⋅ 6((2x + 1)5 + 2) 5 ⋅ 5(2x + 1)4 ⋅ 2-2-Create your own worksheets like this one with Infinite Calculus. ©t 8KHuntta E jSbolf5tnw7aRr5eA 4LuLCCh. 8 A lM uaid Eew cw0i et vhi LI 8nyfXiXnPi tie b uClafldcJu vlyu8s I. 1 y gMGapdFea Vw Ei t9h5 vI Lnhf sibnki Ltvem BA1lZg3e8bTr an 2Y. Y Y eADlIlg CrjiHgthetBsw ^rLe`sYebrrvTeBdE. Find the amplitude, the period in radians, the phase shift in radians, the vertical shift, and the ©f d2W0M1H36 CKyurt UaV iS o0fpt Xw3a4r ueJ fLzLqC 9. 5593 2) tan 0. -1- Find all solutions to each equation in radians. R X BARl1lD VrEiIgh1tvsJ Fr3e0steRrBvceUdx. ] u kAIlll^ GrUiTgGhxtGsM krVeWsYetryvqePdy. L l hAblXl7 Sr zi fg Nhgt osR r6e9sIe prwvWedo. 0 H bMwaBdIe5 Uwui Mtha qIDnEfOi8n Iipt5eP eClailLcGurl 9ubsb. 1) tan A 24 32 40 B A C 2) sin X 20 15 25 X Z Y Find the value of each trigonometric ratio as decimals rounded to the ten-thousandths place. 9 5 rMagdZeI Owuit6h k Ixn Rfoi 5n FiQtaen XG3eFoQmReEt arXy8. 9) 13) Give a function that requires three applications of the chain rule to differentiate. 1) sec θ x y 5π 4 2) cot θ x y 225° 3) sec θ x y 150° 4) csc θ 9-Trigonometric Ratios Worksheet - Free download as PDF File (. x p UANl GlB br xig hdtys T qr3e Tsmefr zvWeEdj. Tan Z X 35 21 34 30 2) cos C A 3) sin C A 5) cos A A 30 C A A A Worksheet by Kuta Software LLC Find the value of each trigonometric ratio to the nearest ten-thousandth. Y C TAWl0lC BrYipg jhFt 7sg CrIe qs7e9r7v deHd e. Use the hints provided. 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 Worksheet by Kuta Software LLC-3-Find the exact value of each trigonometric function. 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Kuta Works - Option to hide answers and results from students until after due date; New: Kuta Works Trig units for piecewise functions and ordered pairs; Fixed: Applications of Differentiation: Intervals of Increase and Decrease - Wrong Create customized worksheets in a matter of minutes. 19) cos 135° 20) sec 30° 21) sin 855° 22) cos -450° 23) csc -90° 24) cos -1020° 25) cot 210° 26) cos Worksheet by Kuta Software LLC Math Analysis Honors Worksheet 102 - Solving Trigonometric Equations Worksheet 102 - Solving Trigonometric Equations Name_____ Date_____ Using radians, find the amplitude and period of each function. ) sin𝜃+1=cos𝜃 Directions: Solve each trigonometric function IN THE INTERVAL [0,360). 9703 3) 0. 1) y = cos −1−5x3 2) y = sin − ©Y m2j0 O1c3 b NKfu mtaj lS bo eflt owka 9rle a nL PL2CA. 33333 0 Undefined −0. Kuta Software - Infinite Algebra 2 Name_____ Exact Trig Values of Special Angles Date_____ Period____ Find the exact value of each trigonometric function. 3) csc Worksheet by Kuta Software LLC-3-Answers to Worksheet Review Trig. L d eMMaBd6e W KwyiptPhO tI AnTfBien 1i5tNeG 0G ze co gm Ze KtJr Tyk. Problems Date_____ Period____ ©n U260v1 A3r DKauwtia N xSSoSfwtnwLaSrnej YLgL rC y. 1) y = sin (θ − 135) 90 ° 180 ° 270 ° 360 ° 450 ° 540 ° Worksheet by Kuta Software LLC Honors PreCalculus Graphing Sine/Cosine Trig Functions WS #1 Name_____ Date_____ Period____ ©h B2_0m2L0q rKFuKthai WSpolfDtTwnaLrSeY wLdL\Cz. 9135 5) 1. E A LArlClb 9r SidgohDt Rsi lr0e fs ge 8rpv 1e5d8. T d EAflplO zruiLgehftxst IrBe`sFe\rwvZeIdc. 𝑥 tan𝑥 3𝑥 0. Ratios Date_____ Period____ Find the value of the trig function indicated. com. 0 E vA wlXlU Dr3iaguh 6tTsn lr ceOsFeyr JveLdm. H t GAPlslZ hrjiqg[hctFsH ]rkevsoeNrqvBezdu. -1-Using radians, find the amplitude and period of each function. Worksheet by Kuta Software LLC Kuta Software - Infinite Precalculus Trig Ratios of Any Angle Name_____ Date_____ Period____-1-Use a calculator to find each. 2349 6) 0. 2079 2) 0. Find each angle measure to the nearest degree. 1) cos 330° 2) sin 300° 3) tan -30° 4) tan 0° Worksheet by Kuta Software LLC Algebra II Practice with Reciprocal Trig Functions Find the value of the trig function indicated. g 5 sM2azdje Y WwOiQt lhC tI znbf 5iknUidtne J kCjaplqc au rlZuQs1. 6000 12) sin J D xMSad7eH kw Ti atrh6 vI rnAfqiEnciYtje 5 PAtl Ygae xb Lrwat E2 Z. Products Free Worksheets Infinite Pre-Algebra Infinite Algebra 1. 1) tan ( ) 2) cos 3) sin 4) csc Identify the domain and range of each. ©L 0290k1 T28 dK pu 6txa g pSQoef8t uwza BrAed rL sL 1C r. 1) tan θ x y 60 ° 2) sin θ x y 225 ° 3) sin θ x y 90 ° 4) cos θ x y 150 ° 5) cos θ x y 90 ° 6) tan ©L 0290k1 T28 dK pu 6txa g pSQoef8t uwza BrAed rL sL 1C r. 8000 10) cos Z 15 20 25 Z Y X 0. ) 3sec2𝑥−2tan2𝑥−4=0 6. Free trial available at ©z 62f0 q1i2 J XKugt6aa ASTo1f ntVwua KrDeB WLfL xC m. F P MMga6dke 5 kwCiTtrh A DIrn Tfbijnhi 0t seZ YAcl 4g 1eGbprpa4 62T. K _ oA]lyld VrliVg]hNtxst PrietsBe\r`v^eZd`. 1) tan q 25 7 24 q 2) cos q 24 20411 q 3) csc q 52 55 q 4) sin q 20 1216 q 5) cot q 10 8 6 q Worksheet by Kuta Software LLC Precalculus Graphing Trig Functions Practice Name_____ Date_____ Period____ ©i b2C0W1W6f kKvugtmas ]SsoFfwtUw[aTrDel nLSLgCz. 9 L ZMka7dJe h jw Vihtsh M 2I Yn2fci 1n eiltpeZ JC iaVlyc 0uvl 7u tst. Title: Microsoft Word - trigonometric-functions Author: educurve 13 ©n U260v1 A3r DKauwtia N xSSoSfwtnwLaSrnej YLgL rC y. e m TMeaId Ce0 jw 5iCtChN aI7n Of2iln fi0tle T AC9a Rlfcpugl Su1s 8. Worksheet by Kuta Software LLC Pre-Calculus The Six Trig Functions Name_____ ©b V2B0b1M5S IKMuKtZax RSNobfxtcwoaur]ex lLOLACf. 0 x xAclil F brOiJgwhitIs R Urce Tsfe Nrhv fehdj. 4663 Find the value of the trig function indicated. Find the exact value of each trigonometric function. Try for free. 1) sec θ 17 8 15 θ 2) sec θ 13 5 12 θ 3) cot θ 5 3 4 θ 4) csc θ 17 15 8 θ 5) csc θ 16 2 24 8 θ 6) cos θ 21 7 14 2 θ 7) cot θ 25 15 20 θ 8) tan θ 24 22 2 23 θ Find the exact value of each trigonometric function. h T JM KaHdMeD jw Tistyh 0 cI7n7fli KnQidt Geu cAzl gPerb arqa b 62p. 1) y = sin (θ − 135) 90 ° 180 ° 270 ° 360 ° 450 ° 540 ° ©b b2j0`1r6M [KMustMaM vSJoOfftywPaFrNey FLgLOCT. 6 9 FAGlwlZ WrjiCgkhItms3 frZelsueOrxvje 4d8. 1) y = ln x3 2) y = e2 x3 . r C 2MEatdse N Ww4i2tuhc VIenIf ei BnMiVtae U NC Dafl ckujl PujsK. Round your answers to the nearest ten-thousandth. ©O M2a0 I1H3y PK Qu ktHa8 XSNoHfct 5w4a4rmeu uL VL0C s. Inverse Trig Functions Practice Worksheet by Kuta Software LLC Precalculus Inverse Trig Functions Practice Name_____ Date_____ Period____ ©P d2A0m1]6Z aK]uvtHaH rSfo\fmtlwKaBrkeC mLZLMCG. D M xMkaWdPeT Awwigtmh0 gIfncfNiCnSi1tUen cAFlqgpePbvrea1 w2k. 33334 0. 2) If tan ( ) Create customized worksheets in a matter of minutes. x P rARlIl1 ZrOikgph xt4s 4 ir 7ecsIearkvGe4dY. 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