Explicación paso a paso:
[tex] tan^{2} x. cos ^{2}x + cos ^{2}x = \frac{1}{ csc^{2}x } + \frac{1}{ sec^{2} x} \\ \frac{ sin^{2} x}{ cos^{2} x} \times cos^{2} x + cos^{2} x = sin^{2} x + cos^{2}x \\ sin^{2} x + cos^{2} x = sin^{2} x + cos^{2} x \\ demostrado[/tex]
trabajas en ambos lados. para ir formando las igualdades
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Explicación paso a paso:
[tex] tan^{2} x. cos ^{2}x + cos ^{2}x = \frac{1}{ csc^{2}x } + \frac{1}{ sec^{2} x} \\ \frac{ sin^{2} x}{ cos^{2} x} \times cos^{2} x + cos^{2} x = sin^{2} x + cos^{2}x \\ sin^{2} x + cos^{2} x = sin^{2} x + cos^{2} x \\ demostrado[/tex]
trabajas en ambos lados. para ir formando las igualdades