Understanding Coterminal Angles

The video tutorial explains how to plot angles in standard position and find coterminal angles using the variable K, where K is any integer. It covers the process of plotting 5/4 Pi radians, finding both positive and negative coterminal angles, and using Desmos to calculate these angles. An example with negative 5/6 Pi radians is also provided to illustrate the concepts.

What is the initial side of an angle in standard position?

• Along the negative y-axis

• Along the positive x-axis

• Along the negative x-axis

• Along the positive y-axis

How do you find a positive coterminal angle for 5π/4 radians?

• Subtract 2π from 5π/4

• Multiply 5π/4 by 2

• Add 2π to 5π/4

• Divide 5π/4 by 2

What is the expression for all coterminal angles of 5π/4 radians?

• 5π/4 + 2πK

• 5π/4 / 2πK

• 5π/4 - 2πK

• 5π/4 * 2πK

In Desmos, why do we remove π when calculating coterminal angles?

• To simplify the calculation

• To change the angle units

• To avoid decimal approximations

• To make the slider work

What is the next step after removing π in Desmos to find coterminal angles?

• Subtract π from the result

• Divide the result by π

• Multiply the result by π

• Add π back to the result

How do you rotate to find a negative coterminal angle for -5π/6 radians?

• Rotate vertically

• Rotate clockwise

• Rotate counterclockwise

• Rotate horizontally

What is the expression for all coterminal angles of -5π/6 radians?

• -5π/6 * 2πK

• -5π/6 - 2πK

• -5π/6 + 2πK

• -5π/6 / 2πK

In Desmos, what should you do to ensure exact values for coterminal angles?

• Include π in the calculation

• Use decimal approximations

• Change the angle units

• Exclude π from the calculation

What happens when K is negative in the expression for coterminal angles?

• The angle remains unchanged

• You get negative coterminal angles

• The angle becomes zero

• You get positive coterminal angles

What is the initial angle when K is zero for -5π/6 radians?

• 5/6

• -5/6

• -1

• 1