Question

Calcule cotg x,sec x e cossec x para:

Answer 1

*Importante:

>> Cotg = 1/tg

>> Sec = 1/cos

>> Cossec = 1/sen

a)

π/4 = 45°

Cotg : 1 / tg(45) = 1/1 = 1

Sec : 1 / cos(45) = $\frac{2}{\sqrt{2}}$  .  $\frac{\sqrt{2\\}}{\sqrt{2}}$  =  $\sqrt{2}$

Cossec : 1 / sen(45) = $\sqrt{2}$

b)

Cotg : 1 / tg(150) = 1 / (-$\frac{\sqrt{3}}{3}$) = - $\frac{3}{\sqrt{3}}$  . $\frac{\sqrt{3\\}}{\sqrt{3}}$ = - $\sqrt{3}$

Sec : 1 / cos(150) = 1 / -$\frac{\sqrt{3}}{2}$ = - $\frac{2}{\sqrt{3}}$ . $\frac{\sqrt{3\\}}{\sqrt{3}}$ = - $\frac{2\sqrt{3}}{3}$

Cossec : 1 / sen(150) = 1 / $\frac{1}{2}$ = 2