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cos^2a +ctg^2a-1/sin^2a=?
cos^2(a)+ctg^2(a)-1/sin^2(a)=cos^2(a)+ctg^2(a)-1-ctg^2(a)=cos^2(a)-1=1-sin^2(a)-1=-sin^2(a)
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cos^2(a)+ctg^2(a)-1/sin^2(a)=cos^2(a)+ctg^2(a)-1-ctg^2(a)=cos^2(a)-1=1-sin^2(a)-1=-sin^2(a)