Question

Prove that sin 75+ sin 15 = √6/2​

Answer 1

Answer:

We have to find the value of

(Sin75+Sin15).

We will expand it by using the Identity:

Sina+Sinb=2 sin(a+b)/2•cos(a-b)/2.

Hence, we get

Sin75+Sin15

= 2•sin(75+15)/2•cos(75–15)/2

= 2•sin45•cos30

= 2×1/√2×√3/2

=√3/√2