cosA-sinA+1 all divided by cosA+sinA-1 =cosecA+cotA
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=>(cosA-sinA+1)/(cosA+sinA-1)=cosecA+cotA
=>(cosA-sinA+1)/(cosA+sinA-1)=1/sinA+cosA/sinA
=>(cosA-sinA+1)/(cosA+sinA-1)=(1+cosA)/sinA
=>sinA(cosA-sinA+1)=(1+cosA)(cosA+sinA-1)
=>sinAcosA-(sinA)^2+sinA=cosA+sinA-1+(cosA)^2+cosAsinA-cosA
=>-(sinA)^2=-1+(cosA)^2
=>(cosA)^2+(sinA)^2=1
=>(cosA-sinA+1)/(cosA+sinA-1)=1/sinA+cosA/sinA
=>(cosA-sinA+1)/(cosA+sinA-1)=(1+cosA)/sinA
=>sinA(cosA-sinA+1)=(1+cosA)(cosA+sinA-1)
=>sinAcosA-(sinA)^2+sinA=cosA+sinA-1+(cosA)^2+cosAsinA-cosA
=>-(sinA)^2=-1+(cosA)^2
=>(cosA)^2+(sinA)^2=1
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