Given that $\cot \theta = 8$ and $\theta$ is acute, without using a calculator, find, \(\se

Question

Given that $\cot \theta = 8$ and $\theta$ is acute, without using a calculator, find, $\sec \left( \frac{\pi}{2} - \theta \right)$, $\cot \left( \frac{\pi}{2} - \theta \right)$, $\textbf{cosec} \left( \frac{\pi}{2} - \theta \right)$, exactly.

Accepted Answer

(i) $\sqrt{65}$ (ii) $\frac{1}{8}$ (iii) $\frac{\sqrt{65}}{8}$

Trigonometry - Exact Trigonometric Values and the Unit Circle

Trigonometry - Exact Trigonometric Values and the Unit Circle

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