cotA+ cosecA- 1/cotA -cosecA +1 = 1+cosA/sinA
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cotA+cscA-1/cotA-cscA+1
=cosA/sinA+1/sinA/cosA/sinA-1/sinA+1
=cosA-sinA+1/cosA+sinA-1
now divide and multiply with cosA+sinA+1
=cosA-sinA+1/cosA+sinA-1xcosA+sinA+1/cosA+sinA+1
=(cosA sinA) (cosA+sinA)+cosA-sinA+cosA+sinA+1/(cosA+sin)2-1
=cos2A-sin2A+2cosA+1/cos2A+sin2+2sinA cosA-1
=cos2A-(1-cos2A) +2cosA+1/1+2sinA cosA-1
=cos2A-1+cos2A+2cosA+1/2sinA cosA
=2sin2A+2cosA/2sinA cosA
=2cosA(1+cosA)/2sinA cosA
=1+cosA/sinA
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