Question

How do you use the half angle formula to find `sin (pi/12)`?

Answer 1

Use the trig identity: `(1 - 2sin^2 a) = cos 2a`

`2sin^2 (pi/12) = 1 - cos (pi/6) = 1 - (sqr3)/2 = 0.133`

`sin^2 (pi/12) = 0.067` ->`sin (pi/12) = 0.26.`