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Simplify these trigonometric identities. Please show the steps.
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\[\frac{ \cos x \cot x}{ \sec x + \tan x } + \frac{ \sin x }{ \sec x - \tan x }\]
\[\frac{ \csc x }{ 1 - \sin x }\] Please rewrite this so that it does not involve fractions.
\[\frac{ \cot ^2x \cos x }{ \csc x - 1 }\] Please rewrite this so that it does not involve fractions.
this is pretty intense im gonna need my blue card
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