Understanding Trigonometric Functions Using the Unit Circle

The video tutorial explains how to determine exact trigonometric function values using the unit circle. It covers sketching angles in standard position and finding where the terminal side intersects the unit circle to obtain cosine and sine values. The tutorial provides examples for angles 315 degrees, 600 degrees, and -450 degrees, demonstrating how to calculate their trigonometric values and use coterminal angles to find the same results. The video emphasizes understanding the relationship between angles and their corresponding points on the unit circle.

What is the relationship between the x-coordinate on the unit circle and the trigonometric function?

• It represents the cotangent value.

• It represents the tangent value.

• It represents the cosine value.

• It represents the sine value.

How many degrees do you rotate counterclockwise to reach 315 degrees from the initial side?

• 90 degrees

• 315 degrees

• 270 degrees

• 180 degrees

What is the sine value for 315 degrees?

• Negative square root 2 divided by 2

• 1/2

• Negative 1/2

• Square root 2 divided by 2

How many degrees do you need to rotate after a full circle to reach 600 degrees?

• 240 degrees

• 300 degrees

• 120 degrees

• 60 degrees

What is the cosine value for 600 degrees?

• -Square root 3 divided by 2

• 1/2

• Square root 3 divided by 2

• -1/2

Which angle is coterminal with 600 degrees?

• 240 degrees

• 120 degrees

• 300 degrees

• 60 degrees

In which direction do you rotate to find the trigonometric values for -450 degrees?

• Downward

• Counterclockwise

• Clockwise

• Upward

What is the sine value for -450 degrees?

• -1

• 0

• Square root 2 divided by 2

• 1

Which angle is coterminal with -450 degrees?

• 180 degrees

• 90 degrees

• 360 degrees

• 270 degrees

What is the cosine value for -450 degrees?

• 0

• 1

• -1

• Square root 2 divided by 2