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Exercises Trigonometry

Example 1 from Algebra and Trigonometry, 10.3 Polar Coordinates

Plotting a Point on the Polar Grid

Plot the point $(3, \frac{π}{2})$ on the polar grid.

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Solution
The angle $\frac{π}{2}$ is found by sweeping in a counterclockwise direction 90° from the polar axis. The point is located at a length of 3 units from the pole in the $\frac{π}{2}$ direction, as shown in Figure 3.

Figure 3

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Plot the point $(2, \frac{π}{3})$ in the polar grid.

How did it go?

PreviousApplying Heron’s Formula to a Real-World Problem Next Plotting a Point in the Polar Coordinate System with a Negative Component

From Algebra and Trigonometry (1st edition) by OpenStax (Rice University), section 10.3, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.