If 12sin2θ + 4cos2θ= 6 , 0&d

CUET Preparation Today

Start Free Mocks

Home Questions M4VBZSNQE6

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If 12sin²θ + 4cos²θ= 6 , 0° < θ < 90°

than the value of tan²θ is?

Options:

($\frac{2}{\sqrt {3}}$)²

($\frac{1}{\sqrt {3}}$)²

Correct Answer:

($\frac{1}{\sqrt {3}}$)²

Explanation:

θ = 30° satisfying the equation.

So, put θ = 30°

tan²θ = tan²30°

= ($\frac{1}{\sqrt {3}}$)²