Question

Given that sin a=1/2 and cos a =1/root 2 then the value of a+b is

Answer 1

Answer:

$sin \: a = \frac{1}{2} \implies \: sin \: a =sin \: 30 \degree \\ \implies \: a = 30 \degree...(1) \\ cos \: b = \frac{1}{ \sqrt{2} } \implies \: cos \: b=cos \: 45 \degree \\ \implies \: b = 45 \degree...(2) \\ a + b = 30 \degree + 45\degree \\ \implies \huge \fbox{ a + b = 75 \degree}$