Suppose theta is the angle in standard position whose terminal sides coincide with the point $P(3,4)$. Find $\cos\left(\dfrac{\theta}{2}\right)$.
Solution: I tried using the $\arctan$ formula to find the angle that the coordinates will yield, but we won't be allowed to use a calculator in the exam. Is there another way to find $\theta$ without using the calculator? Thank you.
