Question 96

$$\tan A\operatorname{cosec}^2A$$ is equal to

Solution

$$\tan A\operatorname{cosec}^2A=\frac{\ \sin A}{\cos A}\times\frac{\ 1}{\sin^2A}$$

$$=\frac{\ 1}{\cos A\sin A}$$

$$=\ \frac{\ 1}{\cos^2A}\times\frac{\ \cos A}{\sin A}$$

$$=\sec^2A\cot A$$

$$=\left(1+\tan^2A\right)\cot A$$

Hence, Option A is correct answer

Share on Whatsapp Share on Whatsapp

Create a FREE account and get: