Math, asked by varun1729, 10 months ago

cot A- cos A/ cot A+ cos A = cosec A- 1 /cosec A + 1​

Answers

Answered by tilakrvarmapilot7
1

Answer: cotA-cosA/cotA+cosA=cosecA-1/cosecA+1

L.H.S=(COSA/SINA)-COSA/(COSA/SINA)+COSA

      =COSACOSECA-COSA/COSACOSECA+COSA................COSECA=1/SINA

      =COSA(COSECA-1)/COSA(COSECA+1)................................COSA WILL

                                                                                        GET CANCELLLED                

       =COSECA-1/COSECA+1        

R.H.S=COSECA-1/COSECA+1

L.H.S=R.H.S

Answered by avyangdvn18
2

LHS= cot A-cosA / cot A + cosA

=(cosA/sinA - cosA) /(cosA/sinA+cosA)

=cosA(1/sinA-1)/cosA(1/sinA +1)

= (1/sinA-1)/(1/sinA+1)

=(cosecA-1)/(cosec+1)

=RHS

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