Question

Find the coordinates of a point on a circle with radius 15 corresponding to an angle of 295(x,y)= ( , )Round your answers to three decimal places .

Answer 1

Since the radius of the circle is 15

Since the angle is 295 degrees

Then the coordinates of the point are

$\begin{gathered} x=rcos\theta \\ y=rsin\theta \end{gathered}$

Substitute r by 15

Substitute theta by 295

$\begin{gathered} x=15cos(295) \\ x=6.339 \\ y=15sin(295) \\ y=-13.595 \end{gathered}$

The the point is (x, y) = (6.339, -13.595)