Question

demostrar la siguiente identidad sen^2xsec^2x=sec^2-1

Answer 1

${sen}^{2} x \times {sec}^{2} x = {sec}^{2} x - 1 \\ {sen}^{2} x \times \frac{ 1 }{ {cos}^{2}x } = \frac{1}{ {cos}^{2} x} - 1 \\ \frac{ {sen}^{2} x}{ {cos}^{2}x } = \frac{1 - {cos}^{2} }{ {cos}^{2}x} \\ {tan}^{2}x = \frac{ {sen}^{2}x }{ {cos}^{2} x} \\ {tan}^{2} = {tan}^{2}$
Identidad demostrada
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