Understanding the Unit Circle

This video tutorial explains the unit circle, focusing on the upper half and special angles. It covers special right triangles, coordinate patterns, and techniques for memorizing the unit circle. The tutorial also discusses calculating coordinates, converting between radians and degrees, and understanding trigonometric functions like sine, cosine, and tangent. Finally, it demonstrates rationalizing denominators in trigonometric functions.

What is the angle in degrees that follows 60 degrees in the first quadrant of the unit circle?

• 90 degrees

• 120 degrees

• 45 degrees

• 30 degrees

What is the length of the radius in a unit circle?

• 2 units

• 1 unit

• 0.5 units

• 3 units

Which coordinate corresponds to the 45-degree angle in the unit circle?

• (√3/2, 1/2)

• (√2/2, √2/2)

• (0, 1)

• (1, 0)

What is the x-coordinate of the point at 120 degrees in the unit circle?

• √3/2

• 1/2

• -√3/2

• -1/2

Convert 60 degrees to radians.

• 2π/3

• π/2

• π/3

• π/4

What is the sine of 30 degrees?

• 0

• 1/2

• √2/2

• √3/2

What is the cosine of 150 degrees?

• -1/2

• 1/2

• -√3/2

• √3/2

How do you rationalize the denominator of 1/√3?

• Multiply by 3

• Multiply by 2

• Multiply by 1

• Multiply by √3/√3

What is the tangent of 30 degrees?

• 1/√3

• √3/3

• 1

• √3

Which trigonometric function is represented by the y-coordinate in the unit circle?

• Sine

• Cosine

• Cotangent

• Tangent