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 0-9, 0 lies in quadrant lll denominators. 20 radicals as needed. ustintegers or fracionskr any numbersintheexpression Rationalzeal (Simplify your answer. Type an exact answer, using in the expression. Rationalize al denominators.) numbers b. cos 20 using radicals as Use integers or fractions for any implify your answer. Type an exact answer, needed. c, 20 using radicals as needed use integers or fractions for any numbers in the expression. Rationalzeau denominators. tan answer. Type an exact answer, (simplify your

Explanation / Answer

cot theta=9

adjacent=9 ,opposite=1

hypotenuse=sart(81+1)=sqrt82

sin theta=-1/sqrt82

cos theta=-9/sqrt82

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

=9/41

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

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

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