Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

Find the value of sec2θ - \(\frac{sin^2θ-2sin^4θ}{2cos^2θ-cos^2θ}\) is?

Options:

1

2

-1

0

Correct Answer:

1

Explanation:

⇒ sec2θ - \(\frac{sin^2θ(1-2sin^2θ)}{cos^2θ(2cos^2θ-1)}\)

We know

cos2θ - sin2θ = 2cos2θ - 1 = 1 - 2sin2θ

⇒ sec2θ - tan2θ = 1