Question

How do you use the half angle identity to find exact value of sin^2(pi/6)?

Answer 1

Find `sin^2 (pi/6)`

Ans: 1/4

Explanation:

Use the trig identity: `cos 2a = 1 - sin^2 a`
`cos (pi/3) = 1/2 = 1 - 2sin^2 (pi/6).`
`2sin^2 (pi/6) = 1 - 1/2 = 1/2`

`sin^2 (pi/6) = 1/4`