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

Question 3

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 }

Correct Answer:

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