Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If (1+tan2θ)(1+(tan2θ)-1) = K then \(\sqrt {K}\) = ?

Options:

Sinθ sec θ 

cosecθ secθ

cosecθ cosθ

sin θ cosθ

Correct Answer:

cosecθ secθ

Explanation:

Put θ = 45°

(1+1)(1+1) = K

K =4, \(\sqrt {K}\) = 2

Take opt. B

cosecθ secθ = \(\sqrt {2}\) × \(\sqrt {K}\)

= 2