Given that $\textbf{cosec} \theta = -\frac{3}{2}$ and $\theta$ is in the $4^{th}$ quadran

Question

Given that $\textbf{cosec} \theta = -\frac{3}{2}$ and $\theta$ is in the $4^{th}$ quadrant, without using a calculator, find, $\tan \theta$, $\sec \theta$, $\cot \theta$, exactly.

Accepted Answer

(i) $-\frac{2\sqrt{5}}{5}$ (ii) $\frac{3\sqrt{5}}{5}$ (iii) $-\frac{\sqrt{5}}{2}$

Trigonometry - Exact Trigonometric Values and the Unit Circle

Trigonometry - Exact Trigonometric Values and the Unit Circle

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