- 29/12
- 43/12
- 37/12
- 19/12

Option 3 : 37/12

**Given **

Cos θ = √3/2

**Formula used**

Cos 30° = √3/2

Sin 30° = 1/2

Cot 30° = √3

**Calculation **

\(\frac{2 sin^2 θ}{(1 - cot^2 θ)} + (sec^2 θ + cosec θ)\)

⇒ 2(1/4)/[(1 - 3)] + (4/3 + 2)

⇒ -1/4 + 10/3

⇒ 37/12

**∴ The required answer is 37/12**

India’s **#1 Learning** Platform

Start Complete Exam Preparation

Daily Live MasterClasses

Practice Question Bank

Mock Tests & Quizzes

Trusted by 2,18,77,036+ Students

Testbook Edu Solutions Pvt. Ltd.

1st & 2nd Floor, Zion Building,

Plot No. 273, Sector 10, Kharghar,

Navi Mumbai - 410210

[email protected]
Plot No. 273, Sector 10, Kharghar,

Navi Mumbai - 410210

Toll Free:1800 833 0800

Office Hours: 10 AM to 7 PM (all 7 days)