Evaluate sin{π/2-(-π/3)}

Question

Evaluate \(\sin\begin{Bmatrix}\frac{\pi}{2}-\left(\frac{-\pi}{3}\right)\end{Bmatrix}\)

Answer 1

\(\sin\left(\frac{\pi}{2}+\frac{\pi}{3}\right)\)

\(=\sin\left(\frac{5\pi}{6}\right)\)

\(=\sin\left(\pi-\frac{\pi}{6}\right)\)

\(=\sin\frac{\pi}{6}=\frac{1}{2}\)