Question

If sin alpha =cos beta . then what is the value of alpha +beta?​

Answer 1

Answer:

$\alpha + \beta = \frac{\pi}{2}$

Step-by-step explanation:

We know that,

$\sin( \alpha ) = \cos( \frac{\pi}{2} - \alpha )$

And,

$\sin( \alpha ) = \cos( \beta )$

which is given.

So we can say that,

$\cos( \beta ) = \cos( \frac{\pi}{2} - \alpha )$

So,

$\beta = \frac{\pi}{2} - \alpha$

$\alpha + \beta = \frac{\pi}{2}$