Loading…
Example 1 from Algebra and Trigonometry, 7.1 Angles
Drawing an Angle in Standard Position Measured in Degrees
- ⓐSketch an angle of in standard position.
- ⓑSketch an angle of in standard position.
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
- ⓐ
Divide the angle measure by
To rewrite the fraction in a more familiar fraction, we can recognize that
One-twelfth equals one-third of a quarter, so by dividing a quarter rotation into thirds, we can sketch a line at as in Figure 8.
Figure 8 - ⓑ
Divide the angle measure by
In this case, we can recognize that
Three-eighths is one and one-half times a quarter, so we place a line by moving clockwise one full quarter and one-half of another quarter, as in Figure 9.
Figure 9
- ⓐ
Your turn
The book's Try It right after this example: same idea, new numbers. Only the answer is given.
Show an angle of on a circle in standard position.
How did it go?