## The reference angle is the acute angle formed between the terminal side of an angle and the x-axis.

The reference angle is the acute angle formed between the terminal side of an angle and the x-axis. In other words, the smallest angle can be formed between the terminal side of an angle and the x-axis. The reference angle is always positive, regardless of the quadrant in which the angle is located.

The reference angle for anangle can be found using the following formula:

Reference Angle = |Angle – 360|

For example, if you have an angle with a value of 240 degrees, you would use the following equation to find its reference angle:

Reference Angle = |240 – 360| = |-120| = 120 degrees

## The reference angle for a 240 angle is 120 degrees.

The reference angle is the angle between the x-axis and the line formed by the terminal side of the angle. It is always positive and is less than or equal to 90 degrees. To find the reference angle, you need to know what quadrant the terminal side of the angle is in. The reference angle for a 240 angle is 120 degrees.

## To find the reference angle, you must first determine the quadrant in which the angle is located.

The reference angle is the smaller angle made between the terminal side of an angle and the x-axis. The value of the reference angle can range from 0° to 90°. To find the reference angle, you must first determine the quadrant in which the angle is located. The quadrants are numbered counterclockwise, starting with the positive x-axis as Quadrant I. The following steps will show you how to find the reference angle for any given angle:

1) Locate the given angle on a coordinate plane.

2) Determine which quadrant the angle is in.

3) Find the reference angle by subtracting the value of the given angle from 360° if it is in Quadrant I or III, or by subtracting it from 180° if it is in Quadrant II or IV.

## The reference angle for an angle in the second quadrant is the angle itself.

The reference angle for an angle in the second quadrant is the angle itself. In other words, the reference angle for a 240 degree angle would be 240 degrees.

## The reference angle for an angle in the third quadrant is the angle itself minus 180 degrees.

For example, the reference angle for 240 degrees would be 60 degrees (240 – 180 = 60). By definition, the tangent of an angle is equal to the sine of the angle divided by the cosine of the angle. Since we’re working in degrees, we can use the fact that 1 degree is equal to 1/360th of a circle, and that 1 radian is equal to 180/π degrees.

With that in mind, we can say that tangent(240) = sine(240)/cosine(240) = (1 – cos(240))/sin(240) = (1 – (-1))/(-1) = 2.

## The reference angle for an angle in the fourth quadrant is the angle itself minus 360 degrees.

The reference angle for an angle in the fourth quadrant is the angle itself minus 360 degrees. Therefore, the reference angle for 240 degrees would be 240 – 360, or -120 degrees.