Trigonometry - TRIGONOMETRY Angles Arc length Conversions...

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TRIGONOMETRY
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Angles, Arc length, Conversions Angle measured in standard position. Angle measured in standard position. Initial side is the positive x – axis which is fixed. Initial side is the positive x – axis which is fixed. Terminal side is the ray in quadrant II, which is free Terminal side is the ray in quadrant II, which is free to rotate about the origin. Counterclockwise rotation to rotate about the origin. Counterclockwise rotation is positive, clockwise rotation is negative. Coterminal Angles: Angles that have the same terminal side. Coterminal Angles: Angles that have the same terminal side. 60°, 420°, and –300° are all coterminal. 60°, 420°, and –300° are all coterminal. Degrees to radians: Multiply angle by Degrees to radians: Multiply angle by . 180 π 3 180 60 π π = × radians radians Radians to degrees: Multiply angle by Radians to degrees: Multiply angle by . 180 π 45 180 4 = × π π Arc length = central angle x radius, or Arc length = central angle x radius, or . r s θ = Note: The central angle must be in radian measure. Note: The central angle must be in radian measure. Note: 1 revolution = 360° = 2π radians. Note: 1 revolution = 360° = 2π radians.
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Right Triangle Trig Definitions sin(A) = sine of A = opposite / hypotenuse = a/c cos(A) = cosine of A = adjacent / hypotenuse = b/c tan(A) = tangent of A = opposite / adjacent = a/b csc(A) = cosecant of A = hypotenuse / opposite = c/a sec(A) = secant of A = hypotenuse / adjacent = c/b cot(A) = cotangent of A = adjacent / opposite = b/a A a b c B C
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