AveS710
AveS710 AveS710
  • 04-07-2021
  • Mathematics
contestada

Verify that the equation is an identity.

Verify that the equation is an identity class=

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VirαtKσhli
VirαtKσhli VirαtKσhli
  • 04-07-2021

Step-by-step explanation:

We need to prove that ,

cot x / csc x - csc x / cot x = - tan x sec x .

LHS :-

> cot x / csc x - csc x / cot x

> cos x / sin x ÷ csc x - sin x × csc x / cos x

> cosx - 1/ cos x

> cos² x - 1 / cos x

> - sin²x / cosx

> -sin x / cos x × sin x

> -tan x sin x

= RHS

Hence Proved !

Answer Link

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