Question

if cosec theta plus cot theta= x,find the value of cosec thata - cot theta ​

Answer 1

here is ur answer mark as brainlist

Answer 2

Answer:

⇒ cosec θ - cot θ = $\frac{1}{x}$

Step-by-step explanation:

Given :

If cosec θ + cot θ = x,

then,

cosec θ - cot θ = ?

Solution :

We know that,

cosec²θ - cot²θ = 1

&

a² - b² = (a + b) (a - b)

⇒ cosec²θ - cot²θ = (cosec θ + cot θ)(cosec θ - cotθ) = 1

⇒  (cosec θ + cot θ)(cosec θ - cotθ) = 1

⇒ x (cosec θ - cotθ) = 1

⇒ cosec θ - cot θ = $\frac{1}{x}$