Solve the Problem $T = 591 - 76 \cos 2 \theta$

Multiple Choice

Solve the problem.
-Consider the formula $T = 591 - 76 \cos 2 \theta$ , 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 $\mathrm { T }$ will be 559 ?

A) $68.10 ^ { \circ }$
B) $29.55 ^ { \circ }$
C) $32.55 ^ { \circ }$
D) $65.10 ^ { \circ }$