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

Answer:

Option C.  (0.93,0.36)

Step-by-step 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)