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on dividing numerator and denominator by sin A we get
=cosa-sina+1/cosa+sina-1
=cosa-sina+1/cosa=sina-1*cosa+sina-1/cosa+sina-1
=cos2^a-sin^2a+2cosa+1/2sinacosa
=2cos^2a+2cosa/2sinacosa
=2cosa(cosa+1)/2sinacosa
=1+cosa/sina
RHS=coseca+cota=1/cosa+sina/cosa
=1+cosa/sina
=cosa-sina+1/cosa+sina-1
=cosa-sina+1/cosa=sina-1*cosa+sina-1/cosa+sina-1
=cos2^a-sin^2a+2cosa+1/2sinacosa
=2cos^2a+2cosa/2sinacosa
=2cosa(cosa+1)/2sinacosa
=1+cosa/sina
RHS=coseca+cota=1/cosa+sina/cosa
=1+cosa/sina
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