Sinx-cosx+1/sinx+cosx-1=tanx+secx
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Step-by-step explanation:
sinx-cosx+1/sinx+cosx-1
devide by cosx in each term
tanx+secx-1/tanx-secx+1
=(secx+tanx)-(sec²x-tan²x)/tanx-secx+1
=(secx+tanx)(1-secx+tanx)/(tanx-secx+1)
=secx+tanx
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