Question

On a unit circle, the terminal point of e is (3, 3). What is e if 0° s< 360°?A. 45°B. 30°C. 60°D. 15°

Answer 1

In the above picture, the point (√3/2, 1/2) is shown in blue, and the unit circle is shown in red.

By definition,

`\tan (angle)=\frac{\text{ opposite side}}{\text{ adjacent side}}`

From the picture,

`\begin{gathered} \tan (\theta)=\frac{(1)/(2)}{\frac{\sqrt[]{3}}{2}} \\ \tan (\theta)=(1)/(2)\cdot\frac{2}{\sqrt[]{3}} \\ \tan (\theta)=\frac{1}{\sqrt[]{3}} \\ \theta=\arctan (\frac{1}{\sqrt[]{3}}) \\ \theta=30^o \end{gathered}`