How do you simplify the expression $tan^2xcsc^2x-tan^2x$ ?

Question

3953 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-10-13T02:20:46

The expression simplifies to $1$ .

$=tan^2x(csc^2x - 1)$

$=sin^2x/cos^2x(1/sin^2x - 1)$

$= 1/cos^2x - sin^2x/cos^2x$

$=(1 - sin^2x)/cos^2x$

$=cos^2x/cos^2x$

$= 1$

Hopefully this helps!

How do you simplify the expression tan^2xcsc^2x-tan^2xtan^2xcsc^2x-tan^2x?