Angle in Standard Position on the Unit Circle

Angles are measured in which direction from standard position?

• Clockwise

• Counterclockwise

The unit circle has a radius length of...

• 0.5

• 1

• π

• 2π

135° is found in which quadrant?

• Quadrant 1

• Quadrant 2

• Quadrant 3

• Quadrant 4

200° is found in which quadrant?

• Quadrant 1

• Quadrant 2

• Quadrant 3

• Quadrant 4

• undefined

Answer explanation

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

• undefined

Answer explanation

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

• Opp

• x

• Adj

• y

What is the value of θ, theta, in degrees on the unit circle?

• 30°

• 45°

• 60°

• 90°

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

• Adj

• OP

• Opp

• x

• Hyp

• y