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## PowerPoint Slideshow about ' Warm Up' - perry-emerson

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Warm Up

- How’d the test go? Better? Worse?
- Did you do anything different to study for this test?
- How many times have you attended tutoring?
- Did you do every homework assignment for the unit?

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 is clockwise.

A complete rotation of a ray results in an angle measuring 360.

We don’t have to stop there!

- 137 is coterminal with 497. They have the same terminal angle! We can keep adding or subtracting 360 to get more coterminal angles.

137 more

360

497 altogether!

Example 2: For the angles below, find the smallest positive 360coterminal 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

What’s a radian? 360

- You’re used to thinking of a circle in terms of degrees: 360° is the whole circle. 180° is half the circle, etc...
- Radian measure is just a different way of talking about the circle.
- Just as we can measure a football field in yards or feet--we can measure a circle in degrees or in radians!

Think about what the word 360radian sounds like… it sounds like “radius,” right? It turns out that a radian has a close relationship to the radius of a circle.

Example 3: Convert each degree measure to radians. 360

(a) 30° (b) 120° (c) 60° (d) 270° (e) 104 °

Example 3: Convert each radian 360measure to degrees.

Write these down in your notes! If you memorize them, it will make converting from radians to degrees (and vice versa) much easier!

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