Question

Simplify.
tan^2(x)-sin^2(x)

Answer 1

\(\LARGE\color{black}{ \tan^2(x)-\sin^2(x) }\)


\(\LARGE\color{black}{ \frac{\sin^2(x)}{\cos^2{x}}-\frac{\sin^2(x)}{1} }\)

can you do it from here?

Answer 2

you believe it is not going to be simpler once you add the fractions?
Just do what I say step by step.

1)Add the fractions after finding the denominator. (for now)

Answer 3

(multiply top and bottom of the second fraction times \(\large\color{black}{ \cos^2{x} }\) .

Answer 4

\(\LARGE\color{black}{ \frac{\sin^2(x)}{\cos^2(x)}-\frac{\sin^2(x)~~ \color{red}{\times\cos^2(x) } }{1 \color{red}{~~\times \cos^2(x)}} }\)

\(\LARGE\color{black}{ \frac{\sin^2(x)}{\cos^2(x)}-\frac{\sin^2(x)~~ {\cos^2(x) } }{ \cos^2(x)} }\)

Answer 5

Can you add the fractions?