Prove that.cot A-cos A/cot A+cos A=cosecA-1/cosecA+1

1.	Prove that.cot A-cos A/cot A+cos A=cosecA-1/cosecA+1
Answer» LHS CotA-cosA/cotA+cosADivide numerator and denominator by cosA=(cotA/cosA-cosA/cosA)/(cotA/cosA+cosA/cosA)=(cosA/sinA•1/cosA-1)/(cosA/sinA•1/cosA+1)(1/sinA-1)/(1/sinA+1)=(cosecA-1)/(cosecA+1)(since 1/sinA=cosecA)=RHS

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