Answer:
Step-by-step explanation:
To find the reference angle for an angle given in degrees, you can follow these steps:
Determine the absolute value of the given angle.
If the angle is more significant than 360 degrees, subtract the largest possible multiple of 360 degrees to bring it within the range of 0 to 360 degrees.
If the angle is negative, convert it to a positive angle by adding 360 degrees.
The reference angle is the acute angle formed between the terminal side of the angle and the x-axis.
Let's apply these steps to the given angle t = -216 degrees:
Absolute value of -216: | -216 | = 216 degrees
216 degrees is already within the 0 to 360-degree ranges, so there is no need to subtract any multiple of 360 degrees.
Since the angle is negative, convert it to a positive angle: 216 degrees
The reference angle is the acute angle formed with the terminal side of the angle, which is 216 degrees.
Therefore, the reference angle for t = -216 degrees is 216 degrees.