Question

Reducir:
M = ( secx - cosx ) cotx​

Answer 1

Respuesta:

Identidades a utilizar:

$Sec(x)=\frac{1}{Cos(x)}$

$Cot(x)=\frac{Cos(x)}{Sen(x)}$

$Sen^{2}(x)+Cos^{2}(x)=1$

Desarrollo:

$M=(Sec(x)-Cos(x))*Cot(x)$

$M=(\frac{1}{Cos(x)}-Cos(x))*\frac{Cos(x)}{Sen(x)}$

$M=(\frac{1-Cos^{2}(x)}{Cos(x)})*\frac{Cos(x)}{Sen(x)}$

$M=(\frac{Sen^{2}(x)}{Cos(x)})*\frac{Cos(x)}{Sen(x)}$

$M=Sen(x)$