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 2 theta b. cos 2 theta c. tan 2 theta sin theta = 11/12 theta lies in quadrant II a tin 2 theta = (Simplify your answer Typo an exact answer, using radicals as needed Use integers or fractions for any numbers in the expression Rationalize all denominators b cos 2 theta = (Simplify your answer Type an exact answer, using radicals as needed Use integers or fractions for any numbers in the expression Rationalize all denominators tan 2 theta = (Simplify your answer Type an exact answer, using radicals as needed Use integers or fractions for any numbers in the expression Rationalize all denominators

Explanation / Answer

sin =opposite side/hypotenuse=11/12

in second quadrant

opposite side = 11,hypotenuse=12

by pythogorus theorem

hypotenuse2=opposite side2+ adjacent side2

122=112+adjacent side2

adjacent side2=23

adjacent side=23

cos =adjacent side/hypotenuse=-(23)/12

a)

sin2=2sincos

sin2=2*(11/12)*(-(23)/12)

sin2=-(1123)/72

b)

cos2=cos2-sin2

cos2=(23/144)-(121/144)

cos2=-(49/72)

c)

tan2=sin2/cos2

tan2=(1123)/49

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