A negative angle larger than one revolution to find the quadrant of the terminal side

The video tutorial explains how to determine the quadrant of a 1230-degree angle by using negative rotations. The instructor demonstrates the process of calculating multiple rotations and simplifies the method to make it easier to understand. The tutorial concludes with a discussion on coterminal angles and addresses any remaining questions.

What is the first step in determining the quadrant of a 1230-degree angle?

• Start on the initial side and rotate in the negative direction

• Calculate the sine of the angle

• Graph the angle on multiple coordinate planes

• Start on the initial side and rotate in the positive direction

How many times do you subtract 360 degrees to simplify the 1230-degree angle?

• Five times

• Four times

• Three times

• Two times

After subtracting 1080 degrees, how much more do you need to rotate to reach 1230 degrees?

• 150 degrees in the positive direction

• 180 degrees in the negative direction

• 150 degrees in the negative direction

• 180 degrees in the positive direction

In which quadrant does the 1230-degree angle lie after all calculations?

• First quadrant

• Second quadrant

• Fourth quadrant

• Third quadrant

What analogy does the teacher use to explain the process of wrapping the angle around the circle?

• A clock

• A protractor

• A ruler

• A compass