find exact values of sin105 A and B

Question

Using sum or difference formulas, find the exact value of  sin(105degrees). Express your answer in the form sin(105degrees)=sqrtA(1+sqrtB)/4 for some numbers A and B.

Answer 1

sin 105°

sin (60° + 45°)

sin 60° cos 45° + cos 60° sin 45°

Substitute values, simplify, and answer.