cosecA(1+cosA)(cosecA-cotA)=1
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(cosecA*1+cosecA*cosA)(1/sinA-cosA/sinA)
(cosecA+1/sinA*cosA)(1/sinA-cosA/sinA)
(1/sinA+cosA/sinA)(1/sinA-cosA/sinA)
(1/sinA)^2-(cosA/sinA)^2
1-cos^2A/1-cos^2A
=1=rhs
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