Consider the equation

MATHEMATICS · Subjective · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Consider the equation sin⁡θ=sin⁡7π6\sin\theta=\sin\dfrac{7\pi}{6}. (a) Obtain the general solution for θ\theta. (b) From the general solution, determine the principal value of θ\theta. (c) Justify why no other values of θ\theta represent the principal value.

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