Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

What is the value of (1+cot2θ)(1-cos2θ).

Options:

1

0

\(\frac{1}{\sqrt {2}}\)

Cannot be determined

Correct Answer:

1

Explanation:

(1+cot2θ)(1-cos2θ)  [Put θ = 45°]

⇒ cosec2θ×sin2θ

⇒ \(\frac{1}{sin^2θ}\)×sin2θ

= 1