Trigonometry Examples

$\arctan (\frac{65}{240})$

Step 1

since $\tan (θ) = \frac{y}{x}$ , $θ = \tan^{- 1} (\frac{y}{x})$ . Find $x$ and $y$ .

$x = 240$

$y = 65$

Step 2

Since $x$ is positive and $y$ is positive, the angle is in the first quadrant.

Quadrant 1

Step 3