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PreCalculus Name___________________________________ ©[ ^2l0p1k6n zKHuAtyak oSNoMfztFwsa]rme^ DLML_Ca.\ f cAmlulU ^rkirgWhJtosQ ZrpeKsgerrevZeAdu. Chapter 7 Trig - Finding Six Functions Date________________ Find the exact value of each trigonometric function. 1) csc q 2) sin q y y - p 3 35p 6 x 3) sec q x 4) sin q y y 135° x x -90° 5) sin q 6) sin q y y 31p 6 x x -495° Worksheet by Kuta Software LLC -1- ©T U2l0c1l6o AKmuRtTay ISRoFfWthwsaHrleP rLYLMCs.[ q sAElslk NrjiKgjhwtksz PrweFsGeBriveeAdO.Y ` FMEaqdze] NwNiEtMhT [IZnFfRi`nXimtweG `ATlQgBeQbHrtam x2I. Use the given point on the terminal side of angle q to find the value of the trigonometric function indicated. 7) csc q 8) csc q y (-3, 7) y (-9, 19 ) x 9) cot q x 10) cos q y y (-8, 16) (3, 4) x 11) csc q x 12) sec q y y x (- x 19, -9) (-7, -14) Worksheet by Kuta Software LLC -2- ©t z2Z0c1a6] OKEuVtlaD _SFoEfEtkwxawrHeV VLVLrCc.U N aAulIlD PrIiXgChXtosR VrjeYsHeBrjvmecdq.Z w SMIa]dzeq bwgixtqhD iI[n`fMi^n`iGtien SAMl\gbesbGrpai w2n. Find the value of the trig function indicated. 13) cot q 14) sec q 14 4 21 5 q 14 q 15) tan q 16) cot q 25 7 25 q 15 q 17) csc q 18) cot q 8 10 6 q q 17 Find the value of each. Round your answers to the nearest ten-thousandth. 19) sec 5° 20) cot 45° 21) csc 85° 22) sec 30° Worksheet by Kuta Software LLC -3- ©X I2B0q1p6f SKkuEtsaG dScoffLtnwHaVr\ey ]LBLxC].q H EAslblk ArAiogOhrtBse xrkeAsIelrev]etdR.R h gM\aTdHeM OwqittIhb WIQnvfJiQn[imtveP hAXlJgHe[burbap Z2L. In each triangle ABC, angle C is a right angle. Find the value of the trig function indicated. 23) Find csc A if c = 10, b = 6 24) Find sin A if c = 17, b = 15 25) Find cos A if a = 12, b = 4 26) Find cot A if c = 21, b = 7 Find the value of the trig function indicated. 27) Find tan q if sec q = 5 3 28) Find sec q if csc q = 5 4 29) Find tan q if csc q = 13 11 30) Find sin q if csc q = 4 7 7 Worksheet by Kuta Software LLC -4- ©V U2r0U1\6W AKjuxtZaJ gSPoOf_tiwpa_rFeg ULwLwCG.d h aAulflE mrrisgShdtWsD orVeDsQemrgvXe`dv.x q AMyagd]ek bwGiqtJhC fIZnUfdiyn[i[t`eE dAxlhgOe\bsrIab x2i. Answers to Chapter 7 Trig - Finding Six Functions 2 3 3 1 5) 2 3 9) 4 13) 1 1) 5 3 21) 1.0038 17) 10 10 11 3 29) 12 25) 2) 3) Undefined 1 2 6) 10) - 2 2 5 5 19 5 8 18) 15 22) 1.1547 14) 26) 30) 2 2 10 19 8) 19 12) - 5 4) 2 4 7 4 4 7 7 10 11) 9 7 15) 24 19) 1.0038 7) 5 4 4 27) 3 23) 4 3 20) 1.0000 16) 8 17 5 28) 3 24) Worksheet by Kuta Software LLC -5- ©` X2]0g1H6l vKRudtvax OSQorfatAwbaBrieO pLML]Cv.y v QAslSly grKiOgkhvtMsy arPeSsaeQrovletdC.m E yMxaWdweT jwOimtahx CIyn]f`iZnTiAtRea dAxlOgaeGbjrWaB K2i.