Question

find the value of x​

Answer 1

Answer:

1+sinx + sin^2 x +..... ad inf = 4+2√3

=> by the formula of geomteric progression sum

=> 1/1-sinx = 4+2√3

=> 1-sinx = 1/4+2√3 = 4-2√3/4 = 2-√3/2

sinx = 1-(2-√3)/2 = 2-2+√3/2 = √3/2

And, so now clearly the principal solution of this equation is π/3

And, the general solution is nπ+(-1)^n (π/3)

Hope this helps you !