Solve the equation for different requirements.

MATHEMATICS · Multi-part · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Solve the equation sin⁡x=−32\sin x = -\dfrac{\sqrt{3}}{2} for different requirements. (i) Find all principal solutions in the interval [0, 2π)[0,\,2\pi). (ii) Write the general solution of the equation. (iii) Express the principal solutions obtained in part (i) in degrees, correct to the nearest degree.

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