Given that sin α = 1/√2 and tan β = √3. Find the value of α + β.

Question

Given that sin α = \(\frac{1}{\sqrt{2}}\) and tan β = √3. Find the value of α + β.

Answer 1

α = sin^-1 (\(\frac{1}{\sqrt{2}}\)) = 45°

β = 60°

α + β = 105°