Home > Flashcards > Print Preview
The flashcards below were created by user
ffarouk
on FreezingBlue Flashcards. What would you like to do?





tan, sin, csc, cot
Odd trig finction with pi(k),

cos, sec
Even trig functions with 2(pi)(k)

Graph: sin
Domain: all real numbers
Range: 1, 1 (closed)

Graph: cos
Domain: all real numbers
Range: 1,1 (closed)

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)

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)

Graph: tan
Domain: all real numbers, expect that theta = (pi/2)k; k any odd integer
Range: all real numbers

Gaph: cot
Domain: all real numbers, expect that theta = (pi)k; k an integer
Range: all real numbers

Graph: sin^{1}
Domain: [1 , 1]
Range: [pi/2 , pi2]

Graph: cos^{1}
Domain: [1 , 1]
Range: [0 , pi]

Graph: tan^{1}
Domain: all real numbers
Range: ( pi/2 , pi/2)

Graph: cot^{1}
Domain: all real numbers
Range: (0 , pi)

Graph: sec^{1}
Domain: (infinity , 1] U [1 , +infinity)
Range: [0 , pi] NOT including pi/2

Graph: csc^{1}
Domain: (infinity , 1] U [1 , +infinity]
Range: [pi/2 , pi/2] NOT including 0

Double Angle Foumula:
sin(2x) =
2sin(x)cos(x)

Double Angle Formula:
cos^{2}(x)  sin^{2}(x)
2cos^{2}(x)  1

Derivative: sin(x)
cos(x)

Derivative: cos(x)
sin(x)

Derivative: tan(x)
sec^{2}(x)

Derivative: cot(x)
csc^{2}(x)

Derivative: sec(x)
sec(x)tan(x)

Derivative: csc(x)
csc(x)cot(x)

Double Angle Formula:
cos(2x)
12sin^{2}(x)

