Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If $cosec^2 θ(cosθ-1)(1+cosθ) = k$, then what is the value of k?

Options:

1

-1

$\frac{1}{2}$

0

Correct Answer:

-1

Explanation:

cosec²θ ( cosθ - 1) ( 1 + cosθ ) = k

cosec²θ ( cos²θ - 1) = k

{ we know,  sin²θ + cos²θ = 1 }

cosec²θ ( - sin²θ ) = k

-1 =  k