Radians and Angles. Angle-formed by rotating a ray about its endpoint (vertex) Initial Side Starting position Terminal Side Ending position Standard Position.

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Presentation transcript:

Radians and Angles

Angle-formed by rotating a ray about its endpoint (vertex) Initial Side Starting position Terminal Side Ending position Standard Position Initial side on positive x-axis and the vertex is on the origin

Angle describes the amount and direction of rotation 120°–210° Positive Angle- rotates counter-clockwise (CCW) Negative Angle- rotates clockwise (CW)

1 Radian = measure of central angle, , that intercepts the arc that has the same length as the radius of the circle

Calculate the number of radians in one full circle: C= 0  , 2  0, 6.28

Coterminal Angles: Two angles with the same initial and terminal sides Find a positive coterminal angle to 20º Find 2 coterminal angles to Find a negative coterminal angle to 20º

Complementary Angles: Two angles whose sum is 90  Supplementary Angles: Two angles whose sum is 180 

To convert from degrees radians, multiply by To convert from radians degrees, multiply by Convert to radians:

To convert from degrees radians, multiply by To convert from radians degrees, multiply by Convert to degrees: