If 7 sin2 θ + 3 cos2 θ = 4, 0o < θ < 90o, then the value of (tan2 2θ + cosec2 2θ) is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 
| Understanding | Application |
| Tricks |
Given 7 sin2 θ + 3 cos2 θ = 4 let we take θ = 30 7(1/2)2 + 3(√3/2)2 = 7/4 + 9/4 = 16/4 = 4 |
| Now |
tan2 2θ + cosec2 2θ tan2 2(30) + cosec2 2(30) tan2 60 + cosec2 60 (√3)2 + (2/√3)2 = 3 + 4/3 = (9 + 4)/3 = 13/3 |