Understanding Coterminal Angles

The video tutorial explains how to determine a coterminal angle between 0 and 360 degrees for a given angle of 1,524 degrees. It begins by introducing the concept of coterminal angles and sketching them in standard position. The tutorial then calculates the number of full revolutions in 1,524 degrees and demonstrates how to find the coterminal angle by subtracting multiples of 360 degrees. Finally, it presents a general formula for finding coterminal angles using integer multiples of 360 degrees.

What is the main goal of the example discussed in the video?

• To find the tangent of 1,524 degrees.

• To calculate the sine of 1,524 degrees.

• To determine the length of the arc for 1,524 degrees.

• To find an angle coterminal to 1,524 degrees between 0 and 360 degrees.

What is the significance of sketching an angle in standard position?

• It helps in visualizing the angle's terminal side.

• It finds the angle's tangent value.

• It determines the angle's sine value.

• It calculates the angle's cosine value.

How many degrees are in one full revolution?

• 90 degrees

• 720 degrees

• 360 degrees

• 180 degrees

After subtracting two full rotations from 1,524 degrees, how many degrees are left?

• 360 degrees

• 48 degrees

• 804 degrees

• 720 degrees

What is the remaining angle after subtracting four full rotations from 1,524 degrees?

• 360 degrees

• 720 degrees

• 84 degrees

• 48 degrees

What is the coterminal angle to 1,524 degrees between 0 and 360 degrees?

• 48 degrees

• 720 degrees

• 360 degrees

• 84 degrees

What is the general formula for finding coterminal angles?

• Theta + 720 degrees x K

• Theta + 90 degrees x K

• Theta + 360 degrees x K

• Theta + 180 degrees x K

If K is -4, what is the result of 360 degrees x K?

• 1,440

• 720

• -1,440

• -720

What is the sum when 1,524 degrees is adjusted by 360 degrees x -4?

• 360 degrees

• 48 degrees

• 84 degrees

• 720 degrees

What must be true about K in the formula for coterminal angles?

• K must be a fraction.

• K must be an integer.

• K must be a negative number.

• K must be a positive number.