TEST 2 REVIEW Flashcards
interval [-pi/2, pi/2]
arc sin
when sin of theta equals 0…
theta equals 0, positive x axis
when sin of theta is greater than 0…
0<theta(<=)pi/2, Q1 or positive y axis
when sin of theta is less than 0…
pi/2(<=)theta<0, QIV or negative y axis
is sin odd or even
odd
what is the domain of sin
(-infinity, infinity)
what is the y-intercept of sin
0
what is the equation for the zeros of sin
npi
what is the range of sin
[-1,1]
what is the period of sin
2pi
what is the relative maximum of sin
1 at x=pi/2 + 2pin
what is the relative minimum of sin
-1 at x= 3pi/2 + 2pin
interval (-pi/2, pi/2)
arctan
when tan theta=0….
theta=0, positive x axis
when tan theta>0…
0<theta<pi/2, QI
when tantheta<0
-pi/2<theta<0, QIV
is tan even or odd
odd
what is the domain of tan
x, x cant equal (2n+1)(pi/2)
what is the y intercept of tan
0
what is the range of tan
(-infinity, infinity)
what are the zeros of tan
x=npi
what is the period of tan
pi
what is the primary cycle of tan
(-pi/2, pi/2)
vertical asymptotes of tan
x=(2n+1)(pi/2)
interval [-1,1]
arccos
when cos theta=0
theta = pi/2, positive y axis
when cos theta >0
0(<=)theta<pi/2, QI or positive x axis
when cos theta<0
pi/2<theta(<=)pi, QII or negative x axis
is cos an odd or even function
even
what is the domain of cos
(-infinity, infinity)
what is the y intercept of cos
1
what are the zeros of cos
pi(2n+1)/2
range of cos
[-1,1]
period of cos
2pi
relative max of cos
1 at x=2pin
relative min of cos
-1 at x=pi+2pin
is csc odd or even
odd
period of csc
2pi
domain of csc
x, x cannot equal npi
range of csc
(-infinity,-1] U [1, infinity)
equation of vertical asymptotes of csc
x=npi
relative maximum of csc
-1 at x=3pi/2+2pin
relative minimum of csc
1 at x=pi/2+2pin
domain of sec
x, x cannot equal (2n+1)pi/2
range of sec
(-infinity, -1] U [1, infinity)
period of sec
2pi
vertical asymptotes of sec
x=(2n+1)pi/2i
is sec an even or odd function
even
relative max of sec
-1 at x=(2n+1)pi
relative min of sec
1 at x=2pin
is cot odd or even
odd
y intercept of cot
dne
period of cot
pi
domain of cot
x, x cannot equal npi
range of cot
(-infinity, infinity)
period cycle of cot
(0, pi)
vertical asymptotes of cot
x=npi
sin(arcsinx)
[-1,1]
arcsin(sintheta)
[-pi/2, pi/2]
cos(arccosx)
[-1,1]
arccos(costheta)
[0, pi]
tan(arctanx)
(-infinity, infninty)
arctan(tantheta)
(-pi/2, pi/2)
what equation do you use to determine intervals
-pi/2<Bx-C<pi/2
the equation for determining range (with D)
[-|A|+D, |A|+D]
equation for determining period
P=(2pi)/B
equation for determining phase shift
C/B
