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

`-(47\pi)/(18)`

Let us first convert this angle to degrees

`\begin{gathered} degrees=radians*(180\degree)/(\pi) \\ degrees=-(47\pi)/(18)*(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.