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

The coordinate is (15.99, 0.49).

Step-by-step explanation:

Given that:

Radius of the circle = 16

The x component of the coordinate is

`\begin{gathered} rcos\theta=16\cdot cos\lparen(5\pi)/(9)) \\ =15.99 \end{gathered}`

The y component of the coordinate is

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

The coordinate is (15.99, 0.49).