Find the measure of the reference angle for 400 degrees.

I did the work and got 40 degrees, is this right?

yes, it is right.

you can always check by
anytrigfunction(400) = anytrigfunction(40)
e.g. sin400 = sin40

thanks for checking (;

cot75

To find the measure of the reference angle for an angle in degrees, you can follow these steps:

1. Subtract 360 from the given angle until the result is between 0 and 360 degrees.

In this case, we have 400 degrees. Subtracting 360 from 400, we get:

400 - 360 = 40

2. Determine if the result from step 1 is greater than or equal to 180 degrees.

Since 40 degrees is less than 180 degrees, we can proceed to the next step.

3. Identify the reference angle.

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

For this particular problem, the reference angle is also 40 degrees, as it is less than 90 degrees.

Therefore, your answer of 40 degrees is correct!