Given that $\cot \theta = -\frac{2}{5}$ and $\frac{\pi}{2}

Question

Given that $\cot \theta = -\frac{2}{5}$ and $\frac{\pi}{2} < \theta < \pi$, without using a calculator, find, $\sin \theta$, $\cos \theta$, $\sec \theta$, exactly.

Accepted Answer

(i) $\frac{5\sqrt{29}}{29}$ (ii) $-\frac{2\sqrt{29}}{29}$ (iii) $-\frac{\sqrt{29}}{2}$

Trigonometry - Exact Trigonometric Values and the Unit Circle

Trigonometry - Exact Trigonometric Values and the Unit Circle

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