warm-up find the following. 1.) sin 30 ◦ 2.) cos 270 ◦ 3.) cos 135 ◦
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Warm-UpFind the following.
1.) sin 30◦
2.) cos 270 ◦
3.) cos 135 ◦
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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.
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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?
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Converting Between Radians and DegreesTo convert degrees to radians, multiply by
To convert radians to degrees, multiply by
180
radians
radians
180
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Examples: Convert degrees measure to radians.
1.) 45◦ 2.) 225◦ 3.) 150◦
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Convert from radians to degrees.
4.) Radians 5.) Radians 6.) 2 Radians
4
3
3
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Ex 7: Find the exact values of cos and sin of radians. 4