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33 Cards in this Set
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- Back
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Signs for X (Cosine) and Y (Sine) in Quadrant 1 (0-90 degrees)
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Q1 = X+, Y+
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Signs for X (Cosine) and Y (Sine) in Quadrant 2 (91-180 degrees)
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Q2 = X-, Y+
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Signs for X (Cosine) and Y (Sine) in Quadrant 3 (181-270 degrees)
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Q3 = X-, Y-
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Signs for X (Cosine) and Y (Sine) in Quadrant 4 (271-360 degrees)
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Q4 = X+, Y-
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Radian equivalent to 360 degrees
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2 pi radians = 360 degrees
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Cosine identity for Sine
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cos(angle) = sin (angle + pi/2)
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Sine identity for Cosine
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sin(angle) = cos (angle - pi/2)
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Cosine identity for Cosine
Cos (-angle) = |
cos(-angle) = cos (angle)
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Sine identity for Sine
Sin(-angle)= |
sin(-angle) = -sin (angle)
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Sine identity for Sine - Reference angle
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sin(angle) = sin (pi - angle)
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Cosine definition
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cos(angle) = x/r, adjacent/hypotenuse
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Sine definition
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sin(angle) = y/r, opposite/hypotenuse
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Tangent defintion
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tan(angle) = y/x, sin(angle)/cos(angle), opposite/adjacent
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Secant definition
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sec(angle) = 1/cos(angle) = hypotenuse/adjacent = r/x
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Cosecant defintion
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csc(angle) = 1/sin(angle) = hypotenuse/opposite = r/y
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Cotangent definition
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cot(angle) = 1/tan(angle) = adjacent/opposite = x/y
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Sinusoidal function format
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y = A sin (B(t-h)) + k
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Cosine, Sine for 0 degrees:0 radians
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Cos (0 degrees) = 1, Sin (0 degrees)=0
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Cosine, Sine for 30 degrees:pi/6 radians
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Cos (30 degrees) = sqrt(3)/2, Sin (30 degrees) = 1/2
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Cosine, Sine for 45 degrees:pi/4 radians
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Cos (45 degrees) = sqrt(2)/2, Sin (45 degrees) = sqrt(2)/2
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Cosine, Sine for 60 degrees:pi/3 radians
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Cos (60 degrees) = 1/2, Sin (60 degrees) = sqrt(3)/2
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Cosine, Sine for 90 degrees:pi/2 radians
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Cos (90 degrees) = 0, Sin (90 degrees) = 1
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Cosine, Sine for 120 degrees:2pi/3 radians
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Cos (120 degrees) = -1/2, Sin (120 degrees) = sqrt(3)/2
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Cosine, Sine for 135 degrees:3pi/4 radians
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Cos (135 degrees) = -sqrt(2)/2, Sin (135 degrees) = sqrt(2)/2
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Cosine, Sine for 150 degrees:5pi/6 radians
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Cos (150 degrees) = -sqrt(3)/2, Sin (150 degrees) = 1/2
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Cosine, Sine for 180 degrees:pi radians
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Cos (180 degrees) = -1, Sin (180 degrees) = 0
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Cosine, Sine for 210 degrees:7pi/6 radians
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Cos (210 degrees) = -sqrt(3)/2, Sin (210 degrees) = -1/2
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Cosine, Sine for 225 degrees:5pi/4 radians
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Cos (225 degrees) = -sqrt(2)/2, Sin (225 degrees) = -sqrt(2)/2
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Cosine, Sine for 240 degrees:4pi/3 radians
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Cos (240 degrees) = -1/2, Sin (240 degrees) = -sqrt(3)/2
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Cosine, Sine for 270 degrees:3pi/2 radians
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Cos (270 degrees) = 0, Sin (270 degrees) = -1
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Cosine, Sine for 300 degrees:5pi/3 radians
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Cos (300 degrees) = 1/2, Sin (300 degrees) = -sqrt(3)/2
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Cosine, Sine for 315 degrees:7pi/4 radians
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Cos (315 degrees) = sqrt(2)/2, Sin (315 degrees) = -sqrt(2)/2
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Cosine, Sine for 330 degrees:11pi/6 radians
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Cos (330 degrees) = sqrt(3)/2, Sin (330 degrees) = -1/2
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