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Warm-Up

Warm-Up . Find the following. 1.) sin 30 ◦ 2.) cos 270 ◦ 3.) cos 135 ◦. 13.3 Radian Measure. Central Angle – An angle with a vertex at the center of a circle.

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Warm-Up

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  1. Warm-Up Find the following. 1.) sin 30◦ 2.) cos 270 ◦ 3.) cos 135 ◦

  2. 13.3 Radian Measure • Central Angle – An angle with a vertex at the center of a circle. • Intercepted Arc – Portion of the circle with endpoints on the sides of the central angle and remaining points within the interior of the angle.

  3. Radian – Another way to measure angles. • a radian is a central angle that intercepts an arc that is the same length as the radius of the circle • How many radians are there in a circle? How can we find this?

  4. Converting Between Radians and Degrees To convert degrees to radians, multiply by To convert radians to degrees, multiply by

  5. Examples: Convert degrees measure to radians. 1.) 45◦ 2.) 225◦ 3.) 150◦

  6. Convert from radians to degrees. 4.) Radians 5.) Radians 6.) 2 Radians

  7. Ex 7: Find the exact values of cos and sin of radians.

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