Solve sin 5x plus sin x equals 0?

Answer 1

Assuming the angles are expressed in radians:

sin(5x) + sin(x) = 0

∴ sin(5x) = -sin(x)

∴ 5x = x + π

∴ x = π/4

On the other hand, if your angles are in degrees, then the answer would be:

sin(5x) + sin(x) = 0

∴ sin(5x) = -sin(x)

∴ 5x = x + 180

∴ x = 180°/4

∴ x = 45°