#### Question

Prove the following trigonometric identities.

`(1 - tan^2 A)/(cot^2 A -1) = tan^2 A`

#### Solution

`(1 - sin^2 A/cos^2 A)/(cos^2 A/sin^2 A -1) = ((cos^2 A - sin^2 A)/cos^2 A)/((cos^2 A - sin^2 A)/sin^2 A`

`= (sin^2 A)/cos^2 A`

`= tan^2 A`

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#### APPEARS IN

Solution Prove the Following Trigonometric Identities. `(1 - Tan^2 A)/(Cot^2 a -1) = Tan^2 A` Concept: Trigonometric Identities.