Express $\sin \theta$, $\cos \theta$ and $\tan \theta$ for each of the following in terms of t

Question

Express $\sin \theta$, $\cos \theta$ and $\tan \theta$ for each of the following in terms of the ratios of its basic angles. $\theta = -327^\circ$ $\theta = 1\frac{3}{7} \pi$ $\theta = 182^\circ$ $\theta = -\frac{13}{4} \pi$

Accepted Answer

(i) $\sin\theta=\sin33^\circ$, $\cos\theta=\cos33^\circ$, $\tan\theta=\tan33^\circ$ (ii) $\sin\theta=-\sin2^\circ$, $\cos\theta=-\cos2^\circ$, $\tan\theta=\tan2^\circ$ (iii) $\sin\theta=-\sin\frac{3\pi}{7}$, $\cos\theta=-\cos\frac{3\pi}{7}$, $\tan\theta=\tan\frac{3\pi}{7}$ (iv) $\sin\theta=\sin\frac{\pi}{4}$, $\cos\theta=-\cos\frac{\pi}{4}$, $\tan\theta=-\tan\frac{\pi}{4}$

Trigonometry - Symmetry of Trigonometric Functions

Trigonometry - Symmetry of Trigonometric Functions

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