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Cotx-1/ cotx+1 = 1-tanx/1+tanx

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sinxcosx−1sinxcosx+1=1−cosxsinx1+cosxsinx

sinx−cosxcosxsinx+cosxcosx=sinx−cosxsinxsinx+cosxsinx

sinx−cosxcosx⋅cosxsinx+cosx=sinx−cosxsinx⋅sinxsinx+cosx

sinx−cosxsinx+cosx=sinx−cosxsinx+cosx
hence, proved


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