Question

If $\sin \theta =a$ then find $\cot \theta$

Answer 1

Given, $\cot \theta =\frac{\cos \theta }{\sin \theta }$

$=\frac{\sqrt{{\cos }^2\theta }}{\sin \theta }$

$=\frac{\sqrt{1-{\sin }^2\theta }}{\sin \theta }$

$=\frac{\sqrt{1-a^2}}{a}$ where $\sin \theta =a$