Question
Class 11MathematicsTrigonometric Functions

Solve:

sin2x - sin4x + sin6x = 0

Verified Answer

sin6x + sin2x - sin4x = 0 

2sin4x × cos2x - sin4x = 0 

sin4x (2cos2x - 1) = 0 

sin4x = 0 or cos2x = 1/2 

sin4x = 0 or cos2x = cos π/3 

4x = nπ or 2x = 2nπ ± π/3, where n ∈ Ζ 

x = nπ/4 or x = nπ ± π/6, where n ∈ Ζ