Question

1.Sabendo que sen O=-3/5 e cos O =4/5 responda
a) qual o quadrante de O?
B) Qual o valor de tg O?
C) Qual o valor de cotg O?
d)Qual o valor de sec O?
e)Qual o valor do Cossec o?​

Answer 1

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$\tt a)~\sf o~seno~\acute{e}~negativo~e~o~cosseno~positivo~apenas~no~4^{\underline{o}}quadrante$

$\tt b)~\sf tg(\theta)=\dfrac{sen(\theta)}{cos(\theta)}\\\sf tg(\theta)=\dfrac{-\frac{3}{\diagup\!\!\!5}}{\frac{4}{\diagup\!\!\!5}}\\\huge\boxed{\boxed{\boxed{\boxed{\sf tg(\theta)=-\dfrac{3}{4}}}}}$

$\tt c)~\sf cotg(\theta)=\dfrac{1}{tg(\theta)}\\\sf cotg(\theta)=\dfrac{1}{-\frac{3}{4}}\\\huge\boxed{\boxed{\boxed{\boxed{\sf cotg(\theta)=-\dfrac{4}{3}}}}}$

$\tt d)~\sf sec(\theta)=\dfrac{1}{cos(\theta)}=\dfrac{1}{\frac{4}{5}}\\\huge\boxed{\boxed{\boxed{\boxed{\sf sec(\theta)=\dfrac{5}{4}}}}}$

$\tt e)~\sf cossec(\theta)=\dfrac{1}{sen(\theta)}=\dfrac{1}{-\frac{3}{5}}\\\huge\boxed{\boxed{\boxed{\boxed{\sf cossec(\theta)=-\dfrac{5}{3}}}}}$