Express $$sin \theta$$ in terms of $$\cot {\theta}$$, where $$\theta$$ is an acute angle.

Correct option is D

Given:

Express $$\sin \theta$$​ in terms  of $$\cot \theta$$​​

Formula Used:

For any acute angle $$\theta$$​​

$$\sin \theta = \frac{1}{\cosec \theta}$$​​

​$$1 + \cot^2 \theta = \cosec^2 \theta$$​​

Solution:

​$$\sin \theta = \frac{1}{\cosec \theta}$$​​

​$$1 + \cot^2 \theta = \cosec^2 \theta$$​​

So $$\cosec \theta = \sqrt{1 + \cot^2 \theta}$$​​

Hence $$\sin \theta = \frac{1}{\sqrt{1 + \cot^2 \theta}}$$​​

Hence correct option is (d)