Summary

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.

Full Transcript

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

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