Question

Evaluate:

sin A cos B + cos A sin B, if A = 30° and B = 45°.

Answer 1

Given that,

A = 30° and B = 45°

⇒ sin A cos B + cos A sin B

We have,

⇒ sin 30° × cos 45° + cos 30° × sin 45°

On putting the values, we get,

⇒ `1/2 xx 1/(sqrt2) + (sqrt3)/2 xx 1/(sqrt2)`

⇒ `1/(2sqrt2) + sqrt3/(2sqrt2)`

⇒ `((1 + sqrt3))/(2sqrt2)`  Or  `((sqrt2 + sqrt6))/4`