How do you find the reference angle?
So, if our given angle is 110°, then its reference angle is 180° – 110° = 70°. When the terminal side is in the third quadrant (angles from 180° to 270°), our reference angle is our given angle minus 180°. So, if our given angle is 214°, then its reference angle is 214° – 180° = 34°.
What is the reference angle of degrees?
A reference angle is defined as the absolute difference between 180 degrees and the original angle.
What angles on the unit circle has a reference angle of 45 degrees?
This 45° angle, shown in red, is the reference angle for 135°. The terminal side of the 205° angle and the x-axis form a 25° angle. It is 25° because ….
| Example | ||
|---|---|---|
| Problem | Compute using the diagram below. Confirm that this is the same as the value of . | |
| Compute using the right triangle definition. | ||
| Answer | So yes, . |
What is the reference angle of 30 degrees?
Since 30° is in the first quadrant, the reference angle is 30° .
What is the reference angle of 235?
55 degrees
The reference angle for 235 is 55 degrees. If the terminal side of the angle is in the fourth quadrant, we take the angle and subtract it from 360 degrees.
What is the reference angle of 60?
Reference angle for 60°: 60° (π / 3)
What is the reference angle of 1230?
870°
Subtract 360° 360 ° from 1230° 1230 ° . The resulting angle of 870° 870 ° is positive and coterminal with 1230° 1230 ° but isn’t less than 360° 360 ° . Repeat the step.
What is the reference angle of 302?
Trigonometry Examples The resulting angle of 302° 302 ° is positive and coterminal with −58° – 58 ° . Since the angle 302° is in the fourth quadrant, subtract 302° from 360° .
What part of a circle is 45 degrees?
Common angles
| Degrees | Radians |
|---|---|
| 90° | π/2 |
| 60° | π/3 |
| 45° | π/4 |
| 30° | π/6 |
What is the reference angle of 225 degrees?
Trigonometry Examples Since the angle 180° is in the third quadrant, subtract 180° from 225° .
What is the reference angle of 270 degrees?
Trigonometry Examples Since the angle 180° is in the third quadrant, subtract 180° from 270° .