Question 808717
Sin cubed(negative theta)/sin cubed theta minus sin theta 
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{{{sin^3(-x)/(sin^3(x)-sin(x))=sin^3(-x)/sin(x)(sin^2(x)-1)=sin^3(-x)/(-sin(-x)(sin^2(x)-1))=sin^2(-x)/(1-sin^2(x))=sin^2(x)/cos^2(x)=tan^2(x)}}}
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Notes:
sin(-x)=-sin(x)
sin^2(-x)=(-sin(x)^2=sin^2(x)