Question

How do I prove this equation?
* this is a grade 11 math problem.​

Answer 1

The answer to your question is below

Explanation:

`(tan^(2) x)/(tan^(2) x + 1) = sin^(2) x`

`((sin^(2)x )/(cos^(2) x) )/((sin^(2)x )/(cos^(2) x) + 1) = sin^(2)x\\` convert tanx to sinx/cos x

`((sin^(2)x )/(cos^(2) x) )/((sin^(2)x + cos^(2) x )/(cos^(2)x ) ) = sin^(2) x` simplify

`(sin^(2) x)/(sin^(2) x + cos^(2)x ) = sin^(2) x`

sin²x + cos²x = 1 Use identity of sinx and cosx

sin²x = sin²x