How do you prove that $sec xcot x = csc x$ ?

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Answer 1 · 2018-05-13T21:47:05

See below

We will use the following identities

$secx:=1/cosx$

$cotx=cosx/sinx$

$cscx=1/sinx$

Proof

$secxcotx=1/cancelcosxcancelcosx/sinx=1/sinx=cscx$ $color(white)(aaaaaaaaaaaa)square$

How do you prove that sec xcot x = csc xsec xcot x = csc x?