Question

If sinx/1+cosx + sinx/1-coosx=4 then value oof x is

Answer 1

Answer:

x = 30°

Step-by-step explanation:

sinx/1+cosx + sinx/1-cosx=4

=>   Sinx (1 - cosx) + Sinx(1 + cosx) / (1 + cosx)(1 - cosx) = 4 .

=> 2Sinx/ 1 - Cos²x = 4

=> 2Sinx/Sin²x = 4

=> 2/Sinx = 4

=> Sinx = 2/4 = 1/2

=> x = 30°   (∵ Sin30° = 1/2)