How do you graph the point with polar coordinates as (2, 30 degrees)
The point will be located at
x = 2 cos 30 = sqrt 3 = 1.732,
y = 2 sin 30 = 1.
To graph a point with polar coordinates, you can follow these steps:
1. Start by drawing a set of coordinate axes. A horizontal x-axis is represented by a straight line, and a vertical y-axis is perpendicular to it, forming a right angle.
2. Locate the origin (0,0) at the intersection of the x and y axes. This point serves as the reference or starting point for all polar coordinates.
3. Begin from the origin and move outward (from the center) to a distance of 2 units (as given in the radius or magnitude of the polar coordinate). Mark this point on the graph.
4. Next, take the angle measurement of 30 degrees and begin measuring from the positive x-axis, counter-clockwise direction. In this case, you will measure an angle of 30 degrees.
5. Therefore, starting from the positive x-axis, rotate counter-clockwise until you reach an angle of 30 degrees.
6. At the end of the 30-degree measurement, draw a straight line from the origin to this point representing the polar coordinate (2, 30 degrees).
7. Label the point with the letter or symbol you prefer to represent it.
8. Your graph should now display the point with polar coordinates (2, 30 degrees).
Remember, in polar coordinates, the first number represents the distance from the origin (radius), and the second number represents the angle measured counter-clockwise from the positive x-axis.