Question

Solve Sinx Sin3x Sin5x = 0.​

Answer 1

sinx + sin3x +sin5x = 0

sinx + 2sin4xcosx = 0

sinx + 2 x 2sin2x cos2x cosx =0

sinx +4 x 2 sinxcos2xcosx = 0

sinx(8cos2x cosx) = 0

sinx = 0

x = npi

8cos2xcosx = 0

cos2x = 0

2x = (2m + 1)pi/2

x = (2m+1)pi/4

cosx = 0

x = (2p+1)pi/2

Answer 2

Given =>

Sinx.Sin3x.Sin5x = 0.

For solution plz refer to the attachment given.