Question

Doy 20 puntos porfavor es urgente

Answer 1

$\frac{Cos(x)}{Sen(x)}+ \frac{Sen(x)}{Cos(x)} \\ \\ \frac{ Cos^{2}(x)+Sen^{2} (x)}{Sen(x)*Cos(x)} \\ \\ \frac{1}{Sen(x)*Cos(x)} \\ \\ \frac{1}{Sen(x)} * \frac{1}{Cos(x)} \\ \\ \boxed{ \boxed{ Sec(x)*Csc(x)=Sec(x)*Csc(x) }} \ \ \ \ Identidad \ Demostrada$

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Recordamos que :        $Sen^{2}(x)+Cos (x)^{2}=1 \\ \\ \frac{1}{Sen(x)} =Csc(x) \\ \\ \frac{1}{Cos(x)}=Sec(x)$
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$A.p.F$

Answer 2

${ \frac{cosx}{senx} + \frac{senx}{cosx} =}\\\\{ \frac{cosx.cosx+senx.senx}{cosx.senx}=}\\\\{ \frac{cos^2x+sen^2x}{senx.cosx} =}\\\\{ \frac{1}{senx.cosx} =}\\\\{ \frac{1}{senx} . \frac{1}{cosx} =}\\\\{\boxed{cscx. secx}}\\\\{\text{salu2.!! :)}$