(cos x+cot x)sec x=1 +cosec x?

This is a "proving of identities" problem

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  • (cos x+cot x)sec x=1 +cosec x

    (cosx + cosx/sinx)/cosx = 1 + 1/sinx

    cosx + cosx/sinx = cosx + cosx/sinx

    0 = 0

    QED

  • (cos x+cot x)sec x

    =(cosx+cosx/sinx)/cosx

    = 1+1/sinx

    =1+cosec(x) QED

  • cos(1+cosec)sec=1+cosec

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