Find Angles on Unit Circle

You start on the unit circle at (0, -1) and move 300° counterclockwise. Which angle (in degrees) will you end up on the unit circle?

• 30

• 330

• 210

• 120

Mathematical Equivalence

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Answer explanation

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

• 30°

• 45°

• 60°

• 90°

Identify the positive angle in both degrees and radians that represent point L.

What is this angle in radians?

Identify the Positive angle in both radians and degrees that represent point I.

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

Identify the Positive angle in both radians and degrees that represent point H.

Identify the Positive angle in both radians and degrees that represent point D.

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