Question

Given that `sin α = 1/2 cos β = 1/2`, then α + β = ______.

Answer 1

Given that `sin α = 1/2 cos β = 1/2`, then α + β = 90°.

Explanation:

`sin α = 1/2 ⇒ α = 30^circ`   ...(Taking the principal acute value)

`cos β = 1/2 ⇒ β = 60^circ`. 

Hence α + β = 30° + 60° = 90°.