Find (if possible) the trig function of the quadrant angle.

To find the trigonometric function of a quadrant angle, you first need to determine the quadrant in which the angle lies. Each quadrant has a specific range of angles and signs for the trigonometric functions sine, cosine, and tangent.

In the first quadrant (0 to 90 degrees), all trigonometric functions are positive (sin, cos, tan).
In the second quadrant (90 to 180 degrees), the sine function is positive, while cosine and tangent are negative.
In the third quadrant (180 to 270 degrees), only the tangent function is positive, while sine and cosine are negative.
In the fourth quadrant (270 to 360 degrees), the cosine function is positive, while sine and tangent are negative.

Once you determine the quadrant, you can find the trigonometric function of the angle by using the appropriate function and the reference angle (the angle formed between the terminal side of the angle and the x-axis).

For example, if the given angle is 120 degrees and lies in the second quadrant, you would use the sine function because it is positive in that quadrant. To find the sine of 120 degrees, you need to find the sine of the reference angle, which is the angle formed when you draw a line from the terminal side of the angle to the x-axis. In this case, the reference angle is 180 - 120 = 60 degrees.

To calculate the sine of 60 degrees, you can use a calculator or lookup tables. The sine of 60 degrees is √3/2 or approximately 0.866. But since the angle lies in the second quadrant and the sine function is negative in that quadrant, the final answer would be -0.866.

Remember to be aware of the quadrant and the conditions for the trigonometric functions to determine the appropriate sign.