Question

If 1+ Sinx+sin²x+...infinty =4+2root3
then x=?​

Answer 1

Answer:

1 + sinx ( 1 + sinx + sin^2x ...) = 4 + 2 rt 3

1 + sinx (4 + 2 rt 3) = 4 + 2 rt 3

sinx = (3 + 2 rt 3) / (4 + 2 rt 3)

= 2 rt 3 / 4

= rt 3 / 2

Ans : (2) x = pi / 3 or x = 2 pi / 3