Question

If sin alpha =1/√2 and cos beta =1/√2 then find the value of (alpha + beta)

Answer 1

Answer:90

Explanation: alpha is equal to 45

Beta is equal to 45

Alph+ beta=45+45

=90

Answer 2

$\sin\alpha = \frac{1}{ \sqrt{2} } = \sin \frac{\pi}{4} \\ \cos \beta = \frac{1}{ \sqrt{2} } = \cos\frac{\pi}{4}$
Therefore,
$\alpha = \frac{\pi}{4} \\ \beta = \frac{\pi}{4} \\ \\ \\ \alpha + \beta = \frac{\pi}{4} + \frac{\pi}{4} = \frac{\pi}{2}$