Explain why the general solution of is

MATHEMATICS · Subjective · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

Explain why the general solution of sin⁡4θ=0\sin 4\theta = 0 is θ=nπ4,  n∈Z\theta = \dfrac{n\pi}{4},\;n\in\mathbb{Z}. Also state the principal solutions in [0,2π)[0,2\pi).

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