Question

ayuda! es demostrar una igualdad de identidades trigonometricas.
tg (x).cotg (x) + 1 cotg^ 2 (x) =sec^ 2 (x)​

Answer 1

Explicación paso a paso:

$\frac{ \sin( x ) \cos(x) }{ \sin(x) \cos(x) } + \frac{ \sin(x) {}^{2} }{ \cos(x) {}^{2} } = \frac{1}{ \cos(x) {}^{2} } \\ 1 + \frac{ \sin(x) {}^{2} }{ \cos(x) {}^{2} } = \frac{1}{ \cos(x) {}^{2} } \\ \frac{ \cos(x) {}^{2} + \sin(x) {}^{2} }{ \cos(x) {}^{2} } = \frac{1}{ \cos(x) {}^{2} } \\ \cos(x) {}^{2} + \sin(x) {}^{2} = 1 \\ 1 = 1$