Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If cosec2θ = 2 cosecθ - 1 . Then find the value of sinθ . 

Options:

-1

2

0

1

Correct Answer:

1

Explanation:

cosec2θ = 2 cosecθ - 1 

cosecθ = 2 -  \(\frac{1}{coseθ}\)

cosecθ + \(\frac{1}{cosecθ}\) = 2

cosecθ = 1, then θ = 90°

sinθ = sin90° = 1