what will be the solution of equation sin θ = 0 ?

1.	what will be the solution of equation sin θ = 0 ?
Answer» Given sin θ = 0 ∵ sin θ = sin 0 = sin π = sin 2π = sin (–2π) = .... = 0 Therefore sin θ = 0 is satisfied by the following values of θ. ∴ θ = 0, ± π, ± 2π, ± 3π, ± 4π, ..... ⇒ The general solution of sin θ = 0 is θ = nπ, n∈I

Answer»

Given

sin θ = 0

∵ sin θ = sin 0 = sin π = sin 2π = sin (–2π) = .... = 0

Therefore sin θ = 0 is satisfied by the following values of θ.

∴ θ = 0, ± π, ± 2π, ± 3π, ± 4π, .....

⇒ The general solution of sin θ = 0 is θ = nπ, n∈I

Discussion