Question

Sin^2 a/2 - sin a/2 + 1/4 = 0​

Answer 1

a = 60° or π/3

Explanation:

Given :-

sin² a/2 - sin a/2 + 1/4

To find :-

a

Solving :-

sin² a/2 - sin a/2 + 1/4 = (sin a/2 - 1/2)² = 0

sin a/2 - 1/2 = 0

sin a/2 = 1/2

a/2 = 30°

Solution :-

a = 60° or π/3