Solution
Expression : $$tan \theta + cot \theta = 2$$
=> $$tan \theta + \frac{1}{tan \theta} = 2$$
=> $$tan^2 \theta - 2tan \theta + 1 = 0$$
=> $$(tan \theta - 1)^2 = 0$$
=> $$tan \theta = 1$$
$$\therefore sec\theta = \sqrt{1 + tan^2 \theta}$$
= $$\sqrt{1 + 1} = \sqrt{2}$$
Get AI Help
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
