Question

360 antza न Draw an angle with the given measure in standard position. SL 5x 180 472 5

Answer 1

We are asked to draw the following angle

$-\frac{47\pi}{18}$

Let us first convert this angle to degrees

$\begin{gathered} degrees=radians\times\frac{180\degree}{\pi} \\ degrees=-\frac{47\pi}{18}\times\frac{180\degree}{\pi} \\ degrees=-470\degree \end{gathered}$

So the angle is negative 470°

For positive angle, we need to draw in the counterclockwise direction

For negative angle, we need to draw in the clockwise direction

Recall that 360° is one complete rotation and 470° - 360° = 110°

Recall that 90° is equal to one quadrant so 110° - 90° = 20°

So, we need to draw one complete rotation plus one quadrant plus 20° in the clockwise direction.