Question

Solve the trigonometry equation Sin(x + 30°) = 4/10 where -180° ≤ x ≤ 180°

your help is appreciated <_>

Answer 1

Step-by-step explanation:

Given,

sin(X+30)= 30°

=> sinx.cos30° + cosx . sin30° = 3/4

=> (√3x / 2 ) + (x / 2) = 3/4

=> (√3x + x ) / 2 = 3/4

=> √3x + X = 3/2

=> x(√3+1) = 3/2

=> x = 3/ 2(√3 + 1)