Warm Up Find an angle between 0° and 360° that is coterminal with 1190°.

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Presentation transcript:

Warm Up Find an angle between 0° and 360° that is coterminal with 1190°.

Answer Find an angle between 0° and 360° that is coterminal with 1190°.

(1,0) (0,1) (0,-1) (-1,0) This circles has a radius of 1. We call this the unit circle because the radius is one unit.

(1,0) (0,1) (0,-1) (-1,0) Use SOH CAH TOA to figure out the coordinate of the point below, knowing that the radius of the circle is 1. 30°

Now, find the coordinates of the following two points. 45°60°

Now that we know the points for one quarter of the Unit Circle, we can label the remainder of the unit circle.

Here is the unit circle divided into 8 pieces. Can you figure out how many degrees are in each division? 45° 90° 0°0° 135° 180° 225° 270° 315°

Can you figure out what these angles would be in radians? 45° 90° 0°0° 135° 180° 225° 270° 315°

Here is the unit circle divided into 12 pieces. Can you figure out how many degrees are in each division? 30° 90° 0°0° 120° 180° 210° 270° 330° 60° 150° 240° 300°

Can you figure out what the angles would be in radians? 30° 90° 0°0° 120° 180° 210° 270° 330° 60° 150° 240° 300°

Homework Memorize the unit circle! You will need to because these angles are commonly used in math! You will be quizzed on this tomorrow!!!