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degrees radians sin cos tan csc sec cot - degree - radian 0 /360 0 /2 0 1 und 0 / 360 0 / 2 30 6 2
Convert each radian measure into degrees. 21) 2) 345°. 4) -510°. 6) 150°. 8) -240°. 10) 600°. 12) 675°. 14) 570°.
radians. To define radians, we put our angle into a circle so that the vertex is located at the center, and designate the radius of the circle equal to 1. On a Cartesian grid we’ll place the (vertex of the angle) = (center of the circle) at the origin. This unit circle has a circumference (formula C = 2 πr) equal to 2 π.
Conversion Formulas. Angle: two rays extending from a single point called the vertex. Central angle: an angle whose vertex is at the center of a circle. Complementary angles: two acute angles whose measures add up to 90° or π/2 radians. Degree: a unit of angle measure equal to 1/360 revolution of a circle.
Radian Measure. The measure of an angle is determined by the amount of rotation from the initial side to the terminal side. One way to measure angles is in radians. This type of measure is especially useful in calculus and is helpful in connecting linear units with angle measure.
21 Ιαν 2022 · A central angle has radian measure \(1\) provided that it intercepts an arc of length equal to the circle's radius. In the unit circle, a central angle's radian measure is precisely the same numerical value as the length of the arc it intercepts along the circle.
Radian Measure Conversions between Degrees and Radians Arc Length on a Circle Area of a Sector of a Circle 6.2 The Unit Circle and Circular Functions 607 Circular Functions Values of the Circular Functions Determining a Number with a Given Circular Function Value Linear and Angular Speed 6.3 Graphs of the Sine and Cosine Functions 620
