Question

$\text{If}\sin A=\frac{1}{2}\text{and}\cos B=\frac{1}{\sqrt{2}}$,
then find the value of (A+B).

Answer 1

Given: $\sin A=\frac{1}{2}$

$\Rightarrow A={30}^{\circ }$

Also given, $\cos B=\frac{1}{\sqrt{2}}$

$\Rightarrow B={45}^{\circ }$

Thus, A + B = (${30}^{\circ }$ + ${45}^{\circ }$) = ${75}^{\circ }$