Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

The value of \(\frac{sin θ - 2 sin^3 θ}{2 cos^3 θ - cos θ}\) is?

Options:

sin θ cos θ

tan θ

cosec θ sec θ

cot θ

Correct Answer:

tan θ

Explanation:

\(\frac{sin θ - 2 sin^3 θ}{2 cos^3 θ - cos θ}\) = \(\frac{sin θ (1 - 2sin^2 θ)}{cos θ (2cos^2 θ-1)}\)

= \(\frac{sin θ (cos2 θ)}{cos θ(cos2 θ)}\) = tan θ