How do you verify the identity $1/(tanxcscxsinx)=cotx$ ?

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Answer 1 · 2017-01-17T20:13:09

see below

Left Hand Side:

$1/(tan x cscx sinx )=1/(sinx /cosx *1/sinx *sinx$

$=1/(sinx /cosx *1/cancel(sinx) *cancelsinx$

$=1/(sinx /cosx)$

$=cosx/sinx$

$=cot x$

How do you verify the identity 1/(tanxcscxsinx)=cotx1/(tanxcscxsinx)=cotx?