Help with the answers plz

Question

1) List three angles that are co-terminal with 78 degrees.

2)Convert 255 degrees to radians. Find the exact value, leave your answer in terms of pi show the work.

3)What is a reference angle? Make sure your create an example of using a reference angle as part of the explanation.

Answer 1

Three angles co-terminal with 78 degrees: 78+360 = 438 degrees, 78 + 720 = 798 degrees, 78-360 = -282 degrees

To convert 255 degrees to radians multiply by PI/180 = 1.417 PI radians

A reference angle is the angle sandwiched by the terminal side and the x-axis. It is always acute (< 90 degrees) and positive. The reference angle between a 120 degree angle and the x-axis would be 60 degrees.

Answer 2

Question 1: List three angles that are co-terminal with 78 degrees.

Answer: Co-terminal angles are angles belong to the same terminal no matter how you rotate of the angle. What you need to do is to add 360 degrees from the original angle. To get another one, add another 360 degrees and soon on.

78+360 = 438 degrees

438+360 = 798 degrees

Or you can use subtraction instead

78 - 360 = -282 degrees

Question 2: Convert 255^ο to radians. Find the exact value, leave your answer in terms of pi show the work.

The easiest way is to convert degrees to radians is to just multiply the number of degrees to π /180.

Furthermore the easiest way is to convert radians to degree is to just multiply the number of degrees to 180/π.

It's just like doing dimensional analysis using the fact that:

π radians = 180^ο

255*(π /180)= 17π /12

Question 3: What is a reference angle? Make sure your create an example of using a reference angle as part of the explanation.

Reference angle is a positive acute angle that represents any angle measure. The x-axis should always be one of its arm.

Here are some examples that I made. Go to this link:

https://drive.google.com/file/d/1w-Zl5XDwZbPhi8InQ-I3XGs6g_J25i35/view?usp=sharing