Question

PLEASE HELP ME

tan(x)^2-sin(x)^2 all over tan(x)^2=sin(x)^2

i need mad help
You need to get one side to look like the other
one rule: you cant touch the side you are trying to get it to look like

Answer 1

see explanation

Explanation:

Using the trigonometric identities

• tanx =
`(sinx)/(cosx)`

• sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x

Consider the left side

`(tan^2x-sin^2x)/(tan^2x)`

=
`(tan^2x)/(tan^2x)` -
`(sin^2x)/(tan^2x)`

= 1 - cos²x

= sin²x = right side ⇒ verified