Warm Up Give radian measure for each: 90º b) 120º c) 135º

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Presentation transcript:

Warm Up Give radian measure for each: 90º b) 120º c) 135º Find the missing side lengths using trig! a) b) 1 1 y 45º x 60º

Coterminal Angles

Basic Terms An angle is formed by rotating a ray around its endpoint. The ray in its starting position is called the initial side of the angle. The ray’s location after the rotation is the terminal side of the angle. terminal side angle initial side

Basic Terms Positive angle: The rotation of the terminal side of an angle counterclockwise. Negative angle: The rotation of the terminal side clockwise.

A complete rotation of a ray results in an angle measuring 360. We don’t have to stop there! 137 more 137 is coterminal with 497. They have the same terminal side! We can keep adding or subtracting 360 to get more coterminal angles. 360 497 altogether!

Example 2: For the angles below, find the smallest positive coterminal angle. (Add or subtract 360 as may times as needed to obtain an angle with measure greater than 0 but less than 360.) a) 1115 b) 187 a) 1115° - 360° - 360° - 360° = 35° b) 187 + 360 = 173

THE UNIT CIRCLE

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

Lets label the angles first

Now let’s label them in Radians

Let’s fill in the coordinates

Homework STUDY UNIT CIRCLE!!!!!!!!!!! Coterminal Angles Practice