Target Exam

CUET

Subject

General Aptitude Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

Solve the following equation.

$sec^2θ(\sqrt{1-sin^2 θ})$ = ________.

Options:

tan θ

cosec θ

sec θ

1

Correct Answer:

sec θ

Explanation:

$sec^2θ(\sqrt{1-sin^2 θ})$

 { using , sin²θ + cos²θ = 1 }

= $sec^2θ(\sqrt{cos^2 θ})$

= sec²θ . cosθ

= secθ