Question

Sabendo que cosx = 3/5, x E ao IQ, calcule

A) SenX
B) tgX
C) SecX

Answer 1

a)

$Sin^{2}(x) = 1 - Cos^{2}(x)\\ \\Sin(x) =\sqrt{1 -(\frac{3}{5})^{2} } \\ \\ Sin(x) =\sqrt{1 -\frac{9}{25} }\\ \\Sin(x) =\sqrt{\frac{16}{25} } \\\\ Sin(x) =\frac{4}{5}$

b)

$Tan(x)=\frac{Sen(x)}{Cos(x)} \\ \\ Tan(x) = \dfrac{\frac{4}{5}}{\frac{3}{5}} \to\frac{4 * 5}{3 * 5} =\frac{4}{3}$

c)

$Sec(x) =\frac{1}{Cos(x)}\\\\ Sec(x) =\frac{1}{\frac{3}{5} } \to\frac{5}{3}$