Question

$\mathrm{If}\sin \theta =x,\mathrm{then}\mathrm{write}\mathrm{the}\mathrm{value}\mathrm{of}\cot \theta .$

Answer 1

$$\begin{gathered} \cot \theta =\frac{\cos \theta }{\sin \theta } \\ =\frac{\sqrt{1-{\sin }^2\theta }}{\sin \theta } \\ =\frac{\sqrt{1-x^2}}{2} \end{gathered}$$