Question

Preciso de ajuda aqui, por favor

Answer 1

a)

${ \sin(x) }^{2} + { \cos(x) }^{2} = 1 \\ { \cos(x) }^{2} = 1 - \frac{3}{4} \\ \cos(x) = \frac{1}{2}$

b)

$\tan(x) = \frac{ \sin(x) }{ \cos(x) } \\ \tan(x) = \frac{ \frac{ \sqrt{3} }{2} }{ \frac{1}{2} } \\ \tan(x) = \sqrt{3}$

c)

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

d)

$\sec(x) = \frac{1}{ \cos(x) } \\ \sec(x) = \frac{1}{ \frac{1}{2} } \\ \sec(x) = 2$

(Não se define no intervalo)

e)

$\csc(x) = \frac{1}{ \sin(x) } \\ \csc(x) = \frac{1}{ \frac{ \sqrt{3} }{2} } \\ \csc(x) = \frac{2}{ \sqrt{3} } \\ \csc(x) = \frac{2 \sqrt{3} }{3}$