Question

Consider the right triangle shown below that has an interior angle measure of θ radians.Use the slider in the applet above to show a circle centered at the left-most vertex of the triangle, along with two rays forming an angle.What is the slope of the hypotenuse of the right triangle?   What is the slope of the terminal ray of the angle?   What is the value of tan(θ)tan(θ)?tan(θ)=

Answer 1

$\begin{gathered} \tan \text{ }\theta=\frac{opposite}{\text{adjacent}} \\ \text{opposite = 2.05cm} \\ \text{adjacent}=1.76cm \\ \\ \tan \text{ }\theta\text{ =}\frac{2.05}{1.76} \\ \tan \text{ }\theta=\text{ 1.1647} \end{gathered}$