Given that $\sin \theta = \frac{2}{7}$ and $\theta$ is acute, without using a calculator, f

Question

Given that $\sin \theta = \frac{2}{7}$ 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) 7/2. (ii) 2sqrt(5)/15. (iii) 7sqrt(5)/15.

Trigonometry - Exact Trigonometric Values and the Unit Circle

Trigonometry - Exact Trigonometric Values and the Unit Circle

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