If SecA = √(11)/3, then the value of Cosec2A+Tan2A/Sin2A+Cot2A is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e 11/9
| Understanding | Application |
| We will use trigonometric identities to simplify the given equations. |
Cosec2A+Tan2A/Sin2A+Cot2A ⇒ (1 / Sin2A + Sin2A + Cos2A) / (Sin2A + Cos2A / Sin2A) ⇒ (Cos2A + Sin4A / (SinACosA)2 / (Cos2A + Sin4A / Sin2A) ⇒ 1 / Sin2A = Cosec2A ⇒ Cosec2A = 11 / 9 |