यदि $(\frac{\cos A}{1 - \sin A}) + (\frac{\cos A}{1 + \sin A}) = 4$ है, तब A का मान कितना होगा? (0° < A < 90°)

Question

Question

This question was previously asked in

SSC CGL 2023 Tier-I Official Paper (Held On: 19 Jul 2023 Shift 1)

Answer 1

गणना :

⇒ $\frac{c o s A (1 + s i n A) + c o s A (1 - s i n A)}{(1 + s i n A) (1 - s i n A)}$ = 4

⇒ $\frac{c o s A + c o s A . s i n A + c o s A - c o s A s i n A}{(1 - s i n A) (1 + s i n A)}$ = 4

⇒ 2/cosA = 4

⇒ cosA = 1/2

⇒ A = 60°

∴ सही उत्तर 60° है।