Question

Preciso de ajuda
Calcule se existir:

a) tg 3π/2
b) tg 0
c) tg 5π/3
d) tg 3π/4
e) tg 11π/6

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Answer 1

 $Tgx=\frac{Senx}{Cosx}$

a -

$\frac{Sen(270^o)}{Cos(270^o)}\\\frac{-1}{0}$

 Não existe!

b -

$\frac{Sen0}{Cos0}\\\frac{0}{1}\\0$

c -

$\frac{Sen(300^o)}{Cos(300^o)}\\\frac{-Sen(60^o)}{Cos(60^o)}\\-\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\\-\frac{\sqrt{3}}{2}.2\\-\sqrt{3}$

d -

$\frac{Sen(135^o)}{Cos(135^o)}\\\frac{Sen(45^o)}{-Cos(45^o)}\\-\frac{\frac{\sqrt{2}}{2}}{\frac{\sqrt{2}}{2}}\\-1$

e -

$\frac{Sen(330^o)}{Cos(330^o)}\\\frac{-Sen(30^o)}{Cos(30^o)}\\-\frac{\frac{1}{2}}{\frac{\sqrt{3}}{2}}\\-\frac{1}{2}.\frac{2}{\sqrt{3}}\\-\frac{1}{\sqrt{3}}\\-\frac{\sqrt{3}}{3}$

Dúvidas só perguntar!