Question

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Answer 1

PROBLEMA 1

$tg \alpha = \frac{2}{3}$

$M = \sqrt{13} (cos \alpha - sen \alpha ) \\ M = \sqrt{13} ( - \frac{3}{ \sqrt{13} } - ( - \frac{2}{ \sqrt{13} } )) \\ M = \sqrt{13} ( - \frac{3}{ \sqrt{13} } + \frac{2}{ \sqrt{13} } ) \\ M = \sqrt{13} ( - \frac{1}{ \sqrt{13} } ) \\ M = - 1$

PROBLEMA 2

$sen100 \times tgΦ < 0 \\ tgΦ < 0$

$cos220 \times cosΦ > 0 \\ cosΦ > 0$

El ángulo Φ pertenece al IV cuadrante

PROBLEMA 3

$E = \frac{4cos0 + 5cos360 - cos180}{2sen90} \\ E = \frac{4 \times 1 + 5 \times 1 - ( - 1)}{2 \times 1} \\ E = \frac{4 + 5 + 1}{2} \\ E = \frac{10}{2} \\ E = 5$

PROBLEMA 4

$Φ∈IVC$

$cos {}^{2} Φ = \frac{1}{2}$

$G = tgΦ + ctgΦ \\ G = 1 + 1 \\ G = 2$