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Find All Values Of θ\theta In the Specified Interval That Satisfy the Given Equation

Question 13

Multiple Choice

Find all values of θ\theta in the specified interval that satisfy the given equation. sinθ=cos2θ,0θ2π\sin \theta = \cos 2 \theta , 0 \leq \theta \leq 2 \pi


A) θ=π6,5π6,3π2\theta = \frac { \pi } { 6 } , \frac { 5 \pi } { 6 } , \frac { 3 \pi } { 2 }
B) θ=π6,π2,5π6\theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 }
C) θ=π6,π2\theta = \frac { \pi } { 6 } , \frac { \pi } { 2 }
D) θ=π6,5π6\theta = \frac { \pi } { 6 } , \frac { 5 \pi } { 6 }

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