Question

cesec theta + cos theta = x, find the value of cos theta - cos theta??​

Answer 1

$\large\sf\underline{Given}$

• $\sf\:Cosec θ + Cos θ = x$

$\large\sf\underline{Solution :-}$

We know that,

$\tt\purple{\:Cosec θ^{2} - Cot θ^{2} =1}$

$\sf↦\:(Cosec θ - Cot θ)(Cosec θ+ Cot θ) =1$

Putting the value of Cosec θ + Cos θ as x :

$\sf↦\:(Cosec θ - Cot θ)x=1$

$\tt\red{↦\:Cosec θ - Cot θ=\frac{1}{x}}$

• Thnku ❣