Option 4 : 4

**Given:**

θ = 30°

**Calculations:**

tan 2θ = tan 60° = √3

cot θ = cot 30° = √3

sin 2θ = sin 60° = √3/2

Now,

(tan 2θ + cot θ)/sin 2θ = (√3 + √3)/(√3/2)

⇒ (2√3)/√3/2)

⇒ 2 × 2 = 4

**∴ The value of given equation will be 4**

India’s **#1 Learning** Platform

Start Complete Exam Preparation

Daily Live MasterClasses

Practice Question Bank

Mock Tests & Quizzes

Trusted by 2,17,80,819+ 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)