Question

What is the value of sin 75°+ sin 15°?

A) √3 B) 2√3 C) √(3/2) D) 3/√2

Answer 1

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C)√(3/2)

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