Question

Determine the coordinates of the point on the unit circle corresponding to the given central angle.

21 degrees

A: (0.36, 0.93)
B: (0.93, 0)
C: (0.93, 0.36)
D: (1, 0.36

Answer 1

Option C. (0.93,0.36)

Explanation:

we know that

The coordinates (x,y) of a point of the unit circle are given by the formula

`x=rcos(\theta)`

`y=rsin(\theta)`

Remember that r is the radius of circle and the unit circle has r=1 unit

so

`x=cos(\theta)`

`y=sin(\theta)`

For
`\theta=21\°`

substitute

`x=cos(21\°)=0.93`

`y=sin(21\°)=0.36`

therefore

The coordinates of the point are (0.93,0.36)