Question

Given that sin α = $\frac{1}{2}$ and cos β = $\frac{1}{2}$, then α + β = _________.

Answer 1

$$\begin{gathered} \sin \alpha =\frac{1}{2} \\ \Rightarrow \sin \alpha =\sin 30° \\ \Rightarrow \alpha =30° \end{gathered}$$
Also,
$$\begin{gathered} \cos \beta =\frac{1}{2} \\ \Rightarrow \cos \beta =\cos 60° \\ \Rightarrow \beta =60° \end{gathered}$$
$\therefore \alpha +\beta =30°+60°=90°$

Given that sin α = $\frac{1}{2}$ and cos β = $\frac{1}{2}$, then α + β = ____90°____.