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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

Respuesta :

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

• tanx = [tex]\frac{sinx}{cosx}[/tex]

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

Consider the left side

[tex]\frac{tan^2x-sin^2x}{tan^2x}[/tex]

= [tex]\frac{tan^2x}{tan^2x}[/tex] - [tex]\frac{sin^2x}{tan^2x}[/tex]

= 1 - cos²x

= sin²x = right side ⇒ verified


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