math

domain of sin

(-inf, inf)

range of sin

[-1, 1]

period of sin

2pi

x-intercepts of sin

piN

domain of cos

(-inf, inf)

range of cos

[-1, 1]

period of cos

2pi

x intercepts of cos

pi/2 +piN

even function

f(-x) = f(x)

odd function

f(-x) = -f(x)

even functions symmetry at

Y-axis

odd functions symmetric at

origin

amplitude

vertical distance from its axis to high or low point

vertical shift

amount shifted up or down

phase shift

amount shifted left or right

to find period

2pi/b

to find b

2pi/period

Frequency

1/period (reciprocal)

period of tan

pi

domain of tan

{x|x≠pi/2(2n+1)}

range of tan

(-inf, inf)

x-intercept of tan

piN

y-intercept of tan

y=0

Asymptotes of tan

X=pi/2(2n+1)

period of cot

pi

Domain of cot

{x|x≠piN}

range of cot

(-inf, inf)

x-intercept of cot

pi/2(2n+1)

Y-intercept of cot

none

asymptote of cot

piN

period of sec

2pi

domain of sec

{x|x≠pi/2(2n+1)}

range of sec

(-inf, -1] U [1, inf)

x-intercept of sec

none

y-intercept of sec

y=1

asymptote of sec

x=pi/2(2n+1)

period of csc

2pi

domain of csc

{x|x≠piN}

range of csc

(-inf, -1] U [1, inf)

x-intercept of csc

None

y-intercept of csc

None

Asymptote of csc

X= pi