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Step-by-step explanation:
cosx-sinx/cosx+sinx
rationalize the denominator
(cosx-sinx)(cosx-sinx)/(cosx+sinx)(cosx-sinx)
=(cosx-sinx)²/cos²x-sin²x
=cos²x-2sinxcosx+sin²x/cos²x-sin²x
=1-2sinxcosx/cos²x-sin²x
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