Solve the Equation for Solutions Over the Interval [0 $[ 0,2 \pi )$

Solve the equation for solutions over the interval [0, $[ 0,2 \pi )$ ) . Write solutions as exact values or to four decimal places, as
appropriate.
-Consider the formula $\mathrm { T } = 591 - 76 \cos 2 \theta$ , where $\theta$ is measured in degrees. To the nearest hundredth of a degree, what is the smallest positive value of $\theta$ for which the value of $T$ will be 640 ?

A) $65.07 ^ { \circ }$
B) $62.07 ^ { \circ }$
C) $133.14 ^ { \circ }$
D) $130.14 ^ { \circ }$

Correct Answer:

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