CUET Preparation Today
CUET
General Test
Quantitative Reasoning
Trigonometry
If $cosec^2 θ(cosθ-1)(1+cosθ) = k$, then what is the value of k?
1
-1
$\frac{1}{2}$
0
cosec²θ ( cosθ - 1) ( 1 + cosθ ) = k
cosec²θ ( cos²θ - 1) = k
{ we know, sin²θ + cos²θ = 1 }
cosec²θ ( - sin²θ ) = k
-1 = k