Question4. Determine the coordinates of the new point after a rotation of $200^{\circ}$ about $(0,0)$ from the point $(10,0)$. (Transformations of Sinusoidal Functions)

Studdy Solution
Calculate the new coordinates:
Assuming the calculations for $\cos \frac{10\pi}{9}$ and $\sin \frac{10\pi}{9}$ are done, substitute them into:
$(x', y') = (10 \cos \frac{10\pi}{9}, 10 \sin \frac{10\pi}{9})$
For example, using a calculator:
$(x', y') \approx (-9.3969, -3.4202)$
The coordinates of the new point after the rotation are approximately:
$$\boxed{(-9.3969, -3.4202)}$$