Question

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

• A. ${30}^{\circ }$
• B. ${45}^{\circ }$
• C. ${75}^{\circ }$
• D. ${15}^{\circ }$

Answer 1

The correct option is C

${75}^{\circ }$

$sinA=\frac{1}{2}$

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

$cosB=\frac{1}{\sqrt{2}}$

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

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