Find the exact value of sine

Question

-5𝜋/12

sin(-5𝜋/12) = _____

Answer 1

-5π/12 = -75°

Since sinx is an odd function, sin(-x) = -sinx.

Using the half angle formula for sine:

-sin(75°) = -sin(150°/2) = -√{(1 - cos150°)/2] = -√((1 +√3/2)/2)

Answer 2

sin(-5𝜋/12) =

sin(-1.3089..........)=-.022844........