Question

Prove that there are in general four values of x less than 2π
which satisfy the equation
a sin 2x + b sin x + c = 0
and that their sum is an odd multiple of π.​

Answer 1

Answer:

Fourier sine series S(x) = b1 sin x + b2 sin 2x + b3 sin 3x + ··· = ∞. ∑ ... The highlighted term in equation (2) is bkπ/2. ... an odd function (with period 2π) that vanishes at x = 0 and x = π. - x.