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Angles and Their Measure

Angles and Their Measure. Section 13- 2. Angles. Terminal Side. Initial Side. Vertex. Standard Position : Initial side is on the positive x-axis with the vertex at the origin. Positive angles are measured counter-clockwise. Negative angles are measured clockwise. Positive Angle.

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Angles and Their Measure

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  1. Angles and Their Measure Section 13-2

  2. Angles Terminal Side Initial Side Vertex

  3. Standard Position: Initial side is on the positive x-axis with the vertex at the origin. Positive angles are measured counter-clockwise. Negative angles are measured clockwise. Positive Angle Negative Angle Quadrantal Angle: Angle in standard position with terminal side on an axis

  4. Measuring Angles There are two ways to measure angles: • Radians (One Circle = 2 radians) • Radians are the commonly used angle measure for Trig • Degrees (One circle = 360o)

  5. Ex: Draw each angle with the given measure in standard position 1. 215o 2. 3. -305o 4.

  6. Converting • If 360o = 2 radians, then 180o =  rad • To convert degrees to rad, use the ratio • To convert rad to degrees, use the ratio Ex: Convert 1. 45o to rad 2. to degrees

  7. Coterminal Angles • Two angles in standard position that have the same terminal side Ex: Find one positive angle and one negative angle that are coterminal with To find coterminal angles, add or subtract any number of full circles:

  8. HW: p.862 (3 – 31, 39 – 41)

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