QI reference angle
Θ
In trigonometry, a reference angle is the acute angle between the terminal side of an angle and the x-axis. The reference angle is always positive and falls within the range of 0 to 90 degrees. This angle is used to help simplify trigonometric functions and equations.
To find the reference angle of an angle, you begin by determining which quadrant the angle falls in. If the angle is in the first quadrant (0 to 90 degrees), the reference angle is the same as the original angle. If the angle is in the second quadrant (90 to 180 degrees), the reference angle is equal to 180 degrees minus the original angle. If the angle is in the third quadrant (180 to 270 degrees), the reference angle is equal to the original angle minus 180 degrees. And finally, if the angle is in the fourth quadrant (270 to 360 degrees), the reference angle is equal to 360 degrees minus the original angle.
For example, let’s find the reference angle of an angle in the second quadrant, such as 135 degrees. Since the angle falls in the second quadrant, we subtract it from 180 degrees to get the reference angle: 180 – 135 = 45 degrees. Therefore, the reference angle of 135 degrees is 45 degrees.
More Answers:
Learn How To Convert Degrees To Radians With Simple Formula – Guide For Math BeginnersMastering Trigonometry: How To Find Reference Angles For Exact Trigonometric Function Values
Trigonometry: Simplifying Functions Using Reference Angles