Question

Find sin , csco, and coto, where is the angle shown in the figure. Give exact values, not decimal approximations. sin . = D csce 5 5 coto 2027 Check 9 O Type here to search

Answer 1

$\begin{gathered} \sin (\theta)=\frac{opposite}{hypotenuse} \\ \csc (\theta)=\frac{hypotenuse}{opposite} \\ \cot (\theta)=\frac{adjacent}{opposite} \end{gathered}$

Where:

$\begin{gathered} opposite=3 \\ adjacent=5 \\ hypotenuse=\sqrt[]{3^2+5^2}=\sqrt[]{34} \end{gathered}$

So:

$\begin{gathered} \sin (\theta)=\frac{3}{\sqrt[]{34}} \\ \end{gathered}$$\csc (\theta)=\frac{\sqrt[]{34}}{3}$$\cot (\theta)=\frac{5}{3}$