How do you simplify $tan^2x*csc^2x$ ?

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Answer 1 · 2015-09-20T17:24:54

According to the following rules:

$tanx = sinx/(cosx)$

$cscx= 1/sinx$

I found

$sec^2 x$

$tan^2x . csc^2x$

$sin^2x/(cos^2x) . 1/ (sin^2x) = 1/cos^2x = sec^2x$

Or using the rule : $sin^2x + cos^2x = 1$

you can rearrange it like:

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

$= sin^2x/sin^2x +cos^2x/sin^2x$

$= 1 + tan^2x$

How do you simplify tan^2x*csc^2xtan^2x*csc^2x?