1. **Problem Statement:** Convert the polar coordinate point (3, 45°) to rectangular coordinates and plot it. 2. **Formula:** To convert from polar to rectangular coordinates, use: $$x = r \cos \theta$$ $$y = r \sin \theta$$ where $r$ is the radius and $\theta$ is the angle in degrees. 3. **Important Rules:** - Convert degrees to radians if using a calculator in radian mode, but here we use degrees directly. - $\cos$ and $\sin$ functions take the angle $\theta$. 4. **Calculation:** - Given $r = 3$, $\theta = 45^\circ$ - Calculate $x = 3 \cos 45^\circ = 3 \times \frac{\sqrt{2}}{2} = \frac{3\sqrt{2}}{2}$ - Calculate $y = 3 \sin 45^\circ = 3 \times \frac{\sqrt{2}}{2} = \frac{3\sqrt{2}}{2}$ 5. **Final Answer:** The rectangular coordinates are: $$\boxed{\left( \frac{3\sqrt{2}}{2}, \frac{3\sqrt{2}}{2} \right)}$$ 6. **Plot:** The point lies in the first quadrant at approximately (2.12, 2.12). This completes the solution for the first polar coordinate point conversion and plotting.