![reference angle reference angle](https://mathbythemountain.files.wordpress.com/2016/08/reference-angles-poster.png)
To find the reference angles, the terminal side or angle of the angle must be located in the coordinate plane. If an angle θ is given which lies in the third quadrant, then its reference angle can be found by using the formula θ - π.Reference angle refers to the smallest angle made by the terminal side of a given angle with the specified x-axis.
![reference angle reference angle](https://study.com/cimages/multimages/16/screenshot_2020-05-01_at_1.13.06_am1840738232036036590.png)
#Reference angle how to
How to Find Reference Angle in Quadrant 3? Therefore, the reference angle for 7π/6 is π/6. The calculation to find the reference angle of 7π/6 is given below:
![reference angle reference angle](https://i.ytimg.com/vi/Olsy8EstUBc/maxresdefault.jpg)
For example, the reference angle of -78° is 78°. If θ in a negative angle -θ is from 0 to 90 degrees, then its reference angle is θ. Therefore, 80° is the required reference angle of a negative angle of -1000°. For example, to find the reference angle of -1000°, we will add 360° three times to it. To find the reference angle of a negative angle, we have to add 360° or 2π to it as many times as required to find its coterminal angle. How to Find Reference Angle of Negative Angle? Follow the rules given below to find reference angles in radians: The only difference is that in radians we replace 180° by π and 360° by 2π. To find reference angles in radians is the same as finding them in degrees. It is always positive and cannot be negative in measurement. Can Reference Angles be Negative?Ī reference angle is a non-negative angle. Thus, the reference angle of 200° is 20°. What is the Reference Angle for a 200° Angle?īetween the angles 180° and 360°, we can say that 200° is close to 180° by 20°. Therefore, 40° is the reference angle of 500°.