Question

sabiendo que csc a= 2/raiz de 3 encontrar los valores de las demas razones trigonométricas del angulo a

Answer 1

Explicación paso a paso:
$\csc(a)=\frac{2}{\sqrt{3}}\\\\\sin(a)=\frac{1}{\csc(a)}=\frac{1}{\frac{2}{\sqrt{3}}}=\frac{\sqrt{3}}{2}\\\\a=\sqrt{(2)^{2}-(\sqrt{3})^{2}}=1\\\\\cos(a)=\frac{1}{2}\\\\\tan(a)=\frac{\sin(a)}{\cos(a)}=\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}=\sqrt{3}\\\\\cot(a)=\frac{1}{\tan(a)}=\frac{1}{\sqrt{3}}\\\\\sec(a)=\frac{1}{\cos(a)}=\frac{1}{\frac{1}{2}}=2$