Angle Rotation and Unit Circle

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

• 30°

• 45°

• 60°

• 90°

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.

• Opp

• x

• Adj

• y

• Hyp

• OP

What is this angle in radians?

Which of the following angles are co-terminal to 330^o?

• -330^o, 330^o

• 510^o, -210^o

• 690^o, -30^o

• 420^o, -330^o

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

• Adj

• x

• Hyp

• y

• Opp

• OP

Mathematical Equivalence

ON

What is the length of the hypotenuse of the triangle? (Think about it as a radius)

OP=___

Label OP on your paper.