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. $\theta = 130^{\circ}$ $\theta = \frac{13}{3} \pi$ $\theta = 520^{\circ}$ $\theta = -\frac{11}{5} \pi$

Accepted Answer

(i) $\sin150^\circ=\sin50^\circ$, $\cos150^\circ=-\cos50^\circ$, $\tan150^\circ=-\tan50^\circ$ (ii) $\sin560^\circ=-\sin20^\circ$, $\cos560^\circ=-\cos20^\circ$, $\tan560^\circ=\tan20^\circ$ (iii) $\sin\frac{13\pi}{3}=\sin\frac{\pi}{3}$, $\cos\frac{13\pi}{3}=\cos\frac{\pi}{3}$, $\tan\frac{13\pi}{3}=\tan\frac{\pi}{3}$ (iv) $\sin\left(-\frac{11\pi}{5}\right)=-\sin\frac{\pi}{5}$, $\cos\left(-\frac{11\pi}{5}\right)=\cos\frac{\pi}{5}$, $\tan\left(-\frac{11\pi}{5}\right)=-\tan\frac{\pi}{5}$

Trigonometry - Symmetry of Trigonometric Functions

Trigonometry - Symmetry of Trigonometric Functions

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