An acute reference angle is the smallest angle between the terminal side of the given angle and the x-axis. It is always a positive angle and is less than or equal to 90 degrees. The reference angle helps in simplifying the trigonometric calculations by reducing any angle to its acute form. The reference angle is determined based on the quadrant in which the given angle lies.
The formula to calculate the reference angle depends on the quadrant:
Let's assume the following values:
Using the formula for Quadrant 2:
\[ \text{Reference Angle} = 180^\circ - 150^\circ = 30^\circ \]
The Reference Angle is 30°.
