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Published byOliver Andrews Modified over 9 years ago
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Radians and Angles
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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
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Angle describes the amount and direction of rotation 120°–210° Positive Angle- rotates counter-clockwise (CCW) Negative Angle- rotates clockwise (CW)
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1 Radian = measure of central angle, , that intercepts the arc that has the same length as the radius of the circle
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Calculate the number of radians in one full circle: C= 0 3.14 0, 2 0, 6.28
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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
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Complementary Angles: Two angles whose sum is 90 Supplementary Angles: Two angles whose sum is 180
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To convert from degrees radians, multiply by To convert from radians degrees, multiply by Convert to radians:
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To convert from degrees radians, multiply by To convert from radians degrees, multiply by Convert to degrees:
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