1/cosecA-cotA + 1/cosecB-cotB + 1/cosecC-cotC = cosecA + cosecB + cosecC + cotA + cotB + cotC Share with your friends Share 2 Abhishek Kr. Jha answered this L.H.S = 1cosecA-cotA+1cosecB-cotB+1cosecC-cotC= 11sinA-cosAsinA+11sinB-cosBsinB+11sinC-cosCsinC= sinA1-cosA+sinB1-cosB+sinC1-cosC= 2sinA2.cosA22sin2A2+2sinB2.cosB22sin2B2+2sinC2.cosC22sin2C2= cotA2+cotB2+cotC2R.H.S = cosecA+cosecB+cosecC+cotA+cotB+cotC= 1sinA+1sinB+1sinC+cosAsinA+cosBsinB+cosCsinC= 1+cosAsinA+1+cosBsinB+1+cosCsinC= 2cos2A22sinA2.cosA2+2cos2B22sinB2.cosB2+2cos2C22sinc2.cosC2= cotA2+cotB2+cotC2So. L.H.S = R.H.SHence proved. 0 View Full Answer
