Point on Unit Circle

Which of the following points is in the unit circle?

• (1 / 2 , 1 / 2)

• (-√2 / 2 , -√2 / 2)

• (√2 / 3 , -√2 / 3)

• (3 / 2 , 2 / 3)

Find the point on the Unit Circle associated with the angle 5π/3

• (1 / 2 , 1 / 2)

• (-√3 / 2 , 1/2)

• (1 / 2 , -√3 / 2)

• (-√3 / 2 , -1/2)

Find the point on the Unit Circle associated with the angle 5π/3

• (1 / 2 , 1 / 2)

• (-√3 / 2 , 1/2)

• (1 / 2 , -√3 / 2)

• (-√3 / 2 , -1/2)

The Unit Circle has four quadrants such that:

• All quadrants have 90 degrees

• Quadrant IV is between π and 3π/2 radians

• Quadrant III is between 3π/2 and 2π and radians

• Quadrant I is where the acute angles are

Using θ as a reference angle, mark the triangle sides as Opp, Adj, and Hyp. Label these on the triangle on your paper.

• Hyp

• OP

• Adj

• x

• Opp

• y

Using θ as a reference angle, mark the triangle sides as Opp, Adj, and Hyp. Label these on the triangle on your paper.

• Opp

• x

• Hyp

• y

• Adj

• OP

What point corresponds to an angle of 5π/2 radians on the unit circle?

• (-1,1)

• (1,1)

• (-1,-1)

• (0,1)

On a point in the unit circle (x,y) the x value is the

• cosine

• tan

• sine

• tangent

What is the radius of the unit circle?

• 2

• 3

• 2/3

• 1