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tan, sin, csc, cot
Odd trig finction with pi(k),
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cos, sec
Even trig functions with 2(pi)(k)
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Graph: sin
Domain: all real numbers
Range: -1, 1 (closed)
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Graph: cos
Domain: all real numbers
Range: -1,1 (closed)
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Graph: csc
Domain: all real numbers, expect that theta = (pi)k; k any integer
Range: -infinity (open) to -1 (close) Union 1 (closed) to +infinity (open)
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Graph: sec
Domain: all real numbers, expect that theta = (pi/2)k; k any odd integer
Range: -infinity (open) to -1 (close) Union 1 (closed) to +infinity (open)
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Graph: tan
Domain: all real numbers, expect that theta = (pi/2)k; k any odd integer
Range: all real numbers
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Gaph: cot
Domain: all real numbers, expect that theta = (pi)k; k an integer
Range: all real numbers
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Graph: sin-1
Domain: [-1 , 1]
Range: [-pi/2 , pi2]
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Graph: cos-1
Domain: [-1 , 1]
Range: [0 , pi]
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Graph: tan-1
Domain: all real numbers
Range: ( -pi/2 , pi/2)
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Graph: cot-1
Domain: all real numbers
Range: (0 , pi)
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Graph: sec-1
Domain: (-infinity , -1] U [1 , +infinity)
Range: [0 , pi] NOT including pi/2
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Graph: csc-1
Domain: (-infinity , -1] U [1 , +infinity]
Range: [-pi/2 , pi/2] NOT including 0
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Double Angle Foumula:
sin(2x) =
2sin(x)cos(x)
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Double Angle Formula:
cos2(x) - sin2(x)
2cos2(x) - 1
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Derivative: sin(x)
cos(x)
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Derivative: cos(x)
-sin(x)
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Derivative: tan(x)
sec2(x)
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Derivative: cot(x)
-csc2(x)
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Derivative: sec(x)
sec(x)tan(x)
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Derivative: csc(x)
-csc(x)cot(x)
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Double Angle Formula:
cos(2x)
1-2sin2(x)
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