Question

If sin(theta-30°)=½ then the value of cos theta

Answer 1

the answer is60 degree

Answer 2

$\sin( \alpha - 30) = \frac{1}{2} \\ \sin( \alpha - 30) = \sin(30) \\ \alpha - 30 = 30 \\ \alpha = 30 + 30 = 60 \\ \cos( \alpha ) = \cos(60) \\ \cos( \alpha ) = \frac{1}{2}$