Trigonometric Ratios PDF
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This is a worksheet with problems about trigonometric ratios, relevant angles, sides, triangles, and problems that can be solved through basic trigonometric identities. Worksheet focuses on finding values of trigonometric ratios.
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Kuta Software - Infinite Geometry Name___________________________________ Trigonometric Ratios...
Kuta Software - Infinite Geometry Name___________________________________ Trigonometric Ratios Date________________ Period____ Find the value of each trigonometric ratio. 1) tan Z 2) cos C X A 35 21 34 30 Z 28 Y C 16 B 3) sin C 4) tan X A Z 35 40 28 32 C 21 B X 24 Y 5) cos A 6) sin A 30 B 32 B A C 16 24 34 40 C A 7) sin Z 8) sin C Z B 48 14 40 C 32 A 50 Y 24 X 9) cos Z 10) tan C Z C 30 45 24 36 Y 18 X B 27 A ©v 32B0o192T iKhuDtFa2 xS0oQfmtnwqaornei wLuLdCY.J 9 JA9lvlp 0ryiFgNh3txsw crtessre9rcvgeHdf.T g YMOa7dse5 hwHintkhe uIbnCfQitnEiotAeV 0GGeOoJmWe1tarqyI.8 -1- Worksheet by Kuta Software LLC Find the value of each trigonometric ratio to the nearest ten-thousandth. 11) cos Z 12) cos C Y B 12 9 36 27 Z 15 X A 45 C 13) tan C 14) tan A 50 C C 29 A A 40 30 21 20 B B 15) tan C 16) tan X A Y 37 40 12 30 B C 35 X Z 50 17) sin Z 18) sin Z 35 Y X 50 Z Z 12 37 30 40 X Y 19) sin 48° 20) sin 38° 21) cos 61° 22) cos 51° Critical thinking questions: 23) Can the sine of an angle ever equal 2? 1 Why or why not? 24) sin x = 3 Find cos x. ©B t2O0k1E2B 4KXumtaau nSKoKf3t0wbamrYeE aLeLNCK.Z Q 5AplclF 1rxilgUhotdsT orYe8sWe1rFvUePdl.u w CMlaAdUem Ewci2trhS PIznsf2iAnQijtMeL LGdeaokmfe9t3rhyp.d -2- Worksheet by Kuta Software LLC Kuta Software - Infinite Geometry Name___________________________________ Trigonometric Ratios Date________________ Period____ Find the value of each trigonometric ratio. 3 8 1) tan Z 2) cos C 4 17 X A 35 21 34 30 Z 28 Y C 16 B 4 4 3) sin C 4) tan X 5 3 A Z 35 40 28 32 C 21 B X 24 Y 15 4 5) cos A 6) sin A 17 5 30 B 32 B A C 16 24 34 40 C A 3 7 7) sin Z 8) sin C 5 25 Z B 48 14 40 C 32 A 50 Y 24 X 4 3 9) cos Z 10) tan C 5 4 Z C 30 45 24 36 Y 18 X B 27 A ©7 z290a1U23 vKCujteay fSKo2frthwFazrIeK 0LOLBCV.9 z HAYlilK erii1gxh9tfsW YrjezsweHrxvPecd6.r C OMqasdLel nwhiVtahT xInnaf0iNnCiytvet FGAeYoBmZe9tFroy4.M -1- Worksheet by Kuta Software LLC Find the value of each trigonometric ratio to the nearest ten-thousandth. 11) cos Z 12) cos C Y B 12 9 36 27 Z 15 X A 45 C 0.8000 0.6000 13) tan C 14) tan A 50 C C 29 A A 40 30 21 20 B B 1.3333 1.0500 15) tan C 16) tan X A Y 37 40 12 30 B C 35 X Z 50 0.3429 0.7500 17) sin Z 18) sin Z 35 Y X 50 Z Z 12 37 30 40 X Y 0.3243 0.6000 19) sin 48° 20) sin 38° 0.7431 0.6157 21) cos 61° 22) cos 51° 0.4848 0.6293 Critical thinking questions: 23) Can the sine of an angle ever equal 2? 1 Why or why not? 24) sin x = 3 No, the hypotenuse > opposite side. Find cos x. 2 2 3 Create your own worksheets like this one with Infinite Geometry. Free trial available at KutaSoftware.com ©Y l240L1i26 SKTujtkaO 4Sdo3f7towsaSrmem hLeLaCS.a B LAAl0lL drni5gZhTtpsc Trveys1eHrOvTefdd.U 2 5MfaPdzer hwkiAtIhy VImnffZiTnfirtCes dGjeioUmAeotkrMy8.1 -2- Worksheet by Kuta Software LLC