Use the given information to find the exact value of each of the following. a. s

Question

Use the given information to find the exact value of each of the following. a. sin 20 b. cos 20 c tan 20 cot 9,0 lies in quadrant lll a. sin 20 using radicals as needed. integers orfractions for any numbers in the expression. Rationalzealdenominators. (Simplify your answer. Type an exact answer, b. cos 20 using radicals as needed Use integers or fractions for any numbers expression. Rationalize al denominators.) in the implify your answer. Type an exact an c, tan 20 answer, using radicals as needed. Use integers or fractions for any numbers in the expre Rationalze al denominators) (simplify your answer. Type an exact

Explanation / Answer

cot theta=9

adjacent=9 , opposite=1

hypotenuse=sqrt(81+1)=sqrt 82

sin theta=-1/sqrt82

cos theta=-9/sqrt82

sin 2 theta=2sin theta cos theta=2(-1/sqrt82)(-9/sqrt82)=9/41

cos 2theta=2cos2theta-1 =2(-9/sqrt82)^2 -1 =80/82 =40/41

tan 2theta=sin 2theta/cos 2theta=9/40

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