Question

7) Seja x um ângulo agudo tal que sen x = 3/5 . Calcular: cos x, tg x, cotg x, sec x, cossec x​

Answer 1

${ \sin(x)}^{2} + \cos({x})^{2} = 1$

${( \frac{3}{5})}^{2} + {\cos(x)}^{2}= 1$

$\cos(x) = \sqrt{1 - {( \frac{3}{5})}^{2} }$

$\cos(x) = \frac{4}{5}$

$\tan(x) = \frac{ \sin(x) }{ \cos(x) }=\frac{ \frac{3}{5} }{ \frac{4}{5} }= \frac{3}{4}$

$\cot(x) = \frac{1}{ \tan(x) } = \frac{1}{ \frac{3}{4} } = \frac{4}{3}$

$\sec(x) = \frac{1}{ \cos(x) } = \frac{1}{ \frac{4}{5} } = \frac{5}{4}$

$\csc(x) = \frac{1}{ \sin(x) } = \frac{1}{ \frac{3}{5}} = \frac{5}{3}$