Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

Find the value of \(\frac{sin\;θ . cosec\;θ tan\;θ cot\;θ}{sin^2θ + cos^2θ}\)

Options:

tanθ

0

2

1

Correct Answer:

1

Explanation:

\(\frac{sin\;θ . cosec\;θ. tan\;θ. cot\;θ}{sin^2θ + cos^2θ}\)

1   (because sinθ.cosecθ = 1), so tanθ.cotθ = 1 ⇒ sin2θ + cos2θ = 1