Solution
Expression : $$\frac{\sqrt{1 + cot^2 A}}{cot A}$$
= $$\sqrt{1 + \frac{cos^2 A}{sin^2 A}} \times \frac{1}{cot A}$$
= $$\sqrt{\frac{sin^2 A + cos^2 A}{sin^2 A}} \times \frac{1}{cot A}$$
= $$\sqrt{\frac{1}{sin^2 A}} \times \frac{1}{cot A}$$
= $$\frac{1}{sin A} \times \frac{sin A}{cos A}$$
= $$\frac{1}{cos A} = sec A$$
Create a FREE account and get:
- Free SSC Study Material - 18000 Questions
- 230+ SSC previous papers with solutions PDF
- 100+ SSC Online Tests for Free
