Question

Determine the angle between 0 and 2π that is coterminal to 1020°.

Answer 1

5pie/3

Explanation:

Answer 2

We will have the following:

First, we know that a whole rotation is 360°, so we can see that the number of rotations that are take are 2:

`\begin{cases}360\cdot2=720 \\ \\ 360\cdot3=1080\end{cases}`

So, we find the remaining angle:

`1020-720=300`

So, we transform that to radians:

`300\cdot(\pi)/(180)=(5)/(3)\pi`

So, the coterminal angle to 1020° is 300° which in radians is:

`(5\pi)/(3)`