Explicación paso a paso:
1/((1/sen A)+(cosA/senA))+1/((cos A/senA)-(1/sen A))
=1/((1+cos A)/sen A)+1/((cos A-1)/sen A)
=(sen A)/(1+cos A)+(sen A)/(cos A-1)
=(sen A(cos A-1))+(sen A(1+cos A))/(cos A-1)(cosA+1)
=senAcosA-senA+senA+senAcosA/(cos^2 A-1)
=2senAcosA/(1-sen^2 A-1)
=2senAcosA/-sen^2 A
=-2cos A/sin A
=-2ctg A
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Explicación paso a paso:
1/((1/sen A)+(cosA/senA))+1/((cos A/senA)-(1/sen A))
=1/((1+cos A)/sen A)+1/((cos A-1)/sen A)
=(sen A)/(1+cos A)+(sen A)/(cos A-1)
=(sen A(cos A-1))+(sen A(1+cos A))/(cos A-1)(cosA+1)
=senAcosA-senA+senA+senAcosA/(cos^2 A-1)
=2senAcosA/(1-sen^2 A-1)
=2senAcosA/-sen^2 A
=-2cos A/sin A
=-2ctg A