Question

Si se sabe que tan x+ctg x=4. Calcule el valor de: M=sen x.cos x​

Answer 1

Respuesta:

$tan (x)+ctg( x)=4 \\ \frac{sen(x)}{cos(x)} + \frac{cos(x)}{sen(x)} = 4 \\ \frac{sen {}^{2} (x) + cos {}^{2} (x)}{sen (x) cos (x)} = 4$

$\frac{1}{sen (x) cos (x)} = 4 \\ M = sen (x) cos (x) = \frac{1}{4}$