Question

Find the coordinates of a point on a circle with radius 15 corresponding to an angle of 20°

Answer 1

(14,.095, 5.130)

EXPLANATION :

The radius of the circle is 15, so we can set the hypotenuse of the triangle as 15.

From here, we can have the trigonometric functions :

`\begin{gathered} \sin20=(y)/(15) \\ and \\ \cos20=(x)/(15) \end{gathered}`

That will be :

`\begin{gathered} y=15\sin20=5.130 \\ x=15\cos20=14.095 \end{gathered}`

The coordinates of the point are (14,.095, 5.130)