Question

Find the coordinates of the point on a circle with radius 16 corresponding to an angle of \frac{5\Pi}{9}. If your answer is not an integer then round it to the nearest hundredth. The x component of the coordinate is AnswerThe y component of the coordinate is Answer

Answer 1

Answer:

The coordinate is (15.99, 0.49).

Explanation:

Given that:

Radius of the circle = 16

The x component of the coordinate is

$\begin{gathered} rcos\theta=16\cdot cos\lparen\frac{5\pi}{9}) \\ =15.99 \end{gathered}$

The y component of the coordinate is

$\begin{gathered} rsin\theta=16sin\left(\frac{5\pi}{9}\right) \\ =0.49 \end{gathered}$

The coordinate is (15.99, 0.49).