First Quadrant Unit Circle

When using a 30 - 60 - 90 triangle in a unit circle, the hypotenuse must be how long?

• 1

• 2

The length of the red segment on the triangle represents the value of which coordinate in the point (x, y).

• The x coordinate

• The y coordinate

• Both the x and y coordinates

• neither coordinate

Which image shows the correct position of each of the angles in the first quadrant of the unit circle?

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What is the radius of the unit circle?

• 1

• 2

• 10

• It varies.

What are the coordinates at 60° on the unit circle?

What are the coordinates at 30° on the unit circle?

What are the coordinates at 0^o on the unit circle?

• (1, 0)

• (0, 1)

• (0, -1)

• (-1, 0)

Which of the following is the equation of a unit circle?

• x² + y² = 0

• x² + y² = 1

• (x + 1)² + y² = 1

• (x + 1)² + (y + 1)² = 1

Which of the following are true if tan Θ = √3 and lies in the first quadrant?

• sin Θ = ^√3/₂

• sin Θ = ¹/₂

• cos Θ = ^√3/₂

• cos Θ = ¹/₂

• sec Θ = 2

Based on your unit circle cos(0^o)=

• 1

• 0

• -1

• 1/2