Given that $\cot \gamma = -q$ and $\frac{3 \pi}{2}

Question

Given that $\cot \gamma = -q$ and $\frac{3 \pi}{2} < \gamma < 2 \pi$, express each of the following in terms of $q$. $\sin \gamma$ $\cot (\pi - \gamma)$ $\sec (-\gamma)$ $\cos \left(\frac{\pi}{2} - \gamma\right)$ $\tan (\pi + \gamma)$ $\operatorname{cosec} \left(\frac{\pi}{2} - \gamma\right)$

Accepted Answer

(i) $-\dfrac{\sqrt{q^2 + 1}}{q^2 + 1}$; (ii) $-\dfrac{\sqrt{q^2 + 1}}{q^2 + 1}$; (iii) $q$; (iv) $-\dfrac{1}{q}$; (v) $\dfrac{\sqrt{q^2 + 1}}{q}$; (vi) $\dfrac{\sqrt{q^2 + 1}}{q}$

Trigonometry - Symmetry of Trigonometric Functions

Trigonometry - Symmetry of Trigonometric Functions

Video Solution:

Solution:

Solution locked