Show:
Sequences
Trig Equations
Coterminal Angles
Exponential and Logrithmic Equations
Trig Ratios
100
What is the equation of the sequence 0, 1/5, 2/7, 1/3, 4/11 5/13 . . .
An=(n-1)/(2n+1)
100
sin+1=0
x=3pi/2 or 270 degrees
100
Define coterminal angles.
multiples of 360 or 2pi radians same vertex same standard position same initial side same terminal side
100
lne=
1
100
cott=
1/tan adj/opp x/y
200
What is the equation for geometric sequence?
An=ar^(n-1)
200
tan^(2)x-3=0
tanx= +-sqr(3)
200
are the two angles coterminal? 155, 875
yes
200
8e^2x=20
x=.4581
200
sect=
1/cos 1/x
300
Given A=13 and d=-6 find the 12th term.
n=-53
300
2cos^(2)x-1=0
cosx= 45 degrees or sqr(2)/2
300
Are the two angles coterminal? 5pi/6, 17pi/6
yes
300
log2(25-x)=3
x=17
300
csct=
1/sin 1/y
400
Write in Sigma notation. 1/3+1/9+1/27+1/81
k=1 end=4 1/k^3
400
sqr(s)cosx-1=0
x=pi/4 or 45 degrees x=7pi/4 or 315 degrees
400
What is the equation for arc length?
(theta)r=s
400
10^x=25
x=1.398
400
If sect= 8sqr(57)/57 and sint= -sqr(7)/8, what is the value of tant?
sqr(7)sqr(57)/57
500
What is the equation for the Fibonacci Sequence?
fn=fn-1+fn-2
500
1-tan^(2)x=0
x=45 or pi/4 x=135 or 3pi/4 x=225 or 5pi/4 x=315 or 7pi/4
500
What is the equation for transforming degrees to radians?
(deg)(pi/180)
500
3^(2x-1)=5
x=.2325
500
sint=sqr(33)/4 and cost=7/4 Find the rest of the ratios.
tant=sqr(33)/7 cott=7sqr(33)/33 sect=4/7 csct=4sqr(33)/33