Prove the identity.
1/cosx-cosx/1+sinx=tanx
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Step-by-step explanation:
Please see the attached picture.
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Step-by-step explanation:
(1/cosx)-[cosx/(1+sinx)]
cross multiplication,
=(1+sinx-cos^2x)/[cosx(1+sinx)]
here(1=sin^2x+cos^2x)
=[sin^2x+cos^2x+sinx-cos^2x)/[(cosx(1+sinx)]
=(sin^2x+sinx)/[cosx(1+sinx)]
=sinx(1+sinx)/cosx(1+sinx)
=sinx/cosx
=tanx
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