Understanding Coterminal Angles

The video tutorial explains coterminal angles, which are angles in standard position sharing the same terminal side. It demonstrates how to determine if two angles, 132 degrees and -588 degrees, are coterminal by sketching them and using the concept of adding or subtracting multiples of 360 degrees. The tutorial further explains that coterminal angles can be found by adding or subtracting 360 degrees multiplied by an integer (K) to the given angle.

What are coterminal angles?

• Angles that have different terminal sides

• Angles that have the same terminal side

• Angles that are always positive

• Angles that are always negative

How do you sketch 132 degrees in standard position?

• Rotate counterclockwise 90 degrees from the positive x-axis

• Rotate clockwise 90 degrees from the positive x-axis

• Rotate counterclockwise 132 degrees from the positive x-axis

• Rotate clockwise 132 degrees from the positive x-axis

What is the first step in sketching -588 degrees in standard position?

• Rotate counterclockwise 180 degrees

• Rotate clockwise 360 degrees

• Rotate counterclockwise 360 degrees

• Rotate clockwise 180 degrees

How many degrees do you rotate clockwise after the first full revolution to sketch -588 degrees?

• 42 degrees

• 180 degrees

• 132 degrees

• 228 degrees

What is the key idea to determine if two angles are coterminal?

• Subtracting multiples of 180 degrees

• Adding multiples of 180 degrees

• Adding or subtracting multiples of 90 degrees

• Adding or subtracting multiples of 360 degrees

If you start with -588 degrees, what angle do you get after adding 360 degrees twice?

• 132 degrees

• 228 degrees

• 588 degrees

• 360 degrees

What is the general formula for finding a coterminal angle?

• Theta + 180 degrees x K

• Theta + 90 degrees x K

• Theta + 45 degrees x K

• Theta + 360 degrees x K

What does a negative K value indicate in the coterminal angle formula?

• Subtracting multiples of 180 degrees

• Adding multiples of 180 degrees

• Subtracting multiples of 360 degrees

• Adding multiples of 360 degrees

What does a positive K value indicate in the coterminal angle formula?

• Subtracting multiples of 360 degrees

• Subtracting multiples of 180 degrees

• Adding multiples of 360 degrees

• Adding multiples of 180 degrees

If an angle measures 45 degrees, what is a coterminal angle using K=1?

• 315 degrees

• 405 degrees

• 45 degrees

• 90 degrees