Question

If sec a - tan a is equals to X then show that X square + 1 upon x square - 1 is equals to minus cosec a

Answer 1

Answer:

Step-by-step explanation:

nθ+secθ=x,then prove that sinθ=x2−1x2+1

Given

tanθ+secθ=x.....[1]

⇒1secθ+tanθ=1x

⇒secθ−tanθsec2θ−tan2θ=1x

⇒secθ−tanθ=1x....[2]

Adding [1] and [2] we get

2secθ=x+1x....[3]

Subtracting [2] from [1] we get

2tanθ=x−1x....[4]

Dividing [4] by [3] we get

tanθsecθ=x−1xx+1x

⇒sinθ=x2−1x2+1

 

Answer 2

thanks for asking the answer is in the picture