Question

What's the exact value of sin 7π∕12

Answer 1

(√2+√6) / 4

Explanation:

sin (7π/12) = sin (3π/12 + 4π/12) = sin 3π/12 cos 4π/12 + cos 3π/12 sin 4π/12

==> sin π/4 cos π/3 + cos π/4 sin π/3

==> (1/√2)(1/2) + (1/√2)(√3/2)

==> (√6+√2) / 4