Given that $\tan \theta = 3$ and $\sec \theta

Question

Given that $\tan \theta = 3$ and $\sec \theta < 0$, find the value of each of the following without using a calculator. $\sin \theta$ $\tan(-\theta)$ $\sec \theta$ $\cos \theta$ $\tan \left( \frac{\pi}{2} - \theta \right)$ $\operatorname{cosec} \theta$

Accepted Answer

(i) $-\frac{3\sqrt{10}}{10}$ (ii) $-\frac{\sqrt{10}}{10}$ (iii) $-3$ (iv) $\frac{1}{3}$ (v) $-\sqrt{10}$ (vi) $-\frac{\sqrt{10}}{3}$

Trigonometry - Symmetry of Trigonometric Functions

Trigonometry - Symmetry of Trigonometric Functions

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