Question

no pasen términos$sec ^{2} x .cosc ^{2} x=sec ^{2} x +cosec ^{2} x$ por favor

Answer 1

$Sec^{2}x.Csc^{2}x= \frac{1}{Cos^{2}x.Sen^{2}x} =\frac{Sen^{2}x+Cos^{2}x}{Cos^{2}x.Sen^{2}x}= \\ \\ \frac{Sen^{2}x}{Cos^{2}x.Sen^{2}x}+\frac{Cos^{2}x}{Cos^{2}x.Sen^{2}x}= \frac{1}{Cos^{2}x} + \frac{1}{Sen^{2}x} = \\ \\ Sec^{2}x+Csc^{2}x$