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Published byKelly Daniel Modified over 7 years ago

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What Is A Radian? 1 radian = the arc length of the radius of the circle

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Radian Angle Measures based on the ratio of the arc length in a circle to its radius still measures the amount of rotation from the initial side to the terminal side. Radians often use to symbolize the angle measure. C = 2 r - Distance around a circle is circumference. C = 2 r -Radians uses the unit circle, so r = 1. This makes the distance 2 around the circle 2 .

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III IIIIV Quadrants remain the same, but quadrant angles are now in radians. In what quadrant would the terminal side of each of the following angles lie? 11 6 -7 4 2 3 -20 3 II I IV III

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Finding Coterminal Angles in Radians In degrees: Add or subtract any multiple of 360 o. In radians: Add or subtract any multiple of 2 . *Be careful when adding fractions* Easiest Way: Add the numbers on calculator without the then insert the in the final answer.

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Examples: Find one positive and one negative coterminal angle to.

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Reference Angle with Radians an acute angle formed by the terminal side of any angle ( ) and the x-axis ( should be a positive angle between 0 – 2 ) Quadrant I = Quadrant II Quadrant III = Quadrant IV

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Find the reference angle ( ) of each given angle ( 1) 2 /3 2)7 /6 3)11 /3 4)-4 /3 5)-13 /5 /3 2) /6 /3 /3 /5

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I HATE Fractions!

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