Logs and Natural Logs
Trig Functions
Trig Identities
Misc.
Vocab
100
Write 53=125 in logarithmic form
log5125=3
100
Solve for side b on a triangle whose side a=3 c=5 B=27o
b=4
100
Solve 7=sec2x+5
x= (pi/4) , (7pi/4)
100
If the measure of an angle on the unit circle is 289o what quadrant is it in?
Quadrant 4
100
What is the compound interest formula?
A=p(1+(r/n))nt
200
Write e3=20.085 in logarithmic form
ln20.085=3
200
A=51o c=8 b=12
Find a
a=9.34
200
Solve 2tan4x-tan2x-9=0
x= (pi/3) , (2pi/3)
200
For and triangle ABC, where a,b,c, are the lengths of the sides opposite the angles with measures A, B, and C.
Law of sine
200
When a central angle theta intersects an arc whose length is equal to its radius.
Radian measure
300
Use the change of base formula to evaluate log20=125
Round to the four decimal place.
1.6117
300
C=42 B=15 b=12
find c
c=31.02
300
Prove cotx=cosx-cscx
cotx=cosx(1/sinx)
cot=cosx/sinx
cotx=cotx
300
Solve 7log5x-4=17
125
300
What is herons formula?
400
Expand log7(x2/y2z3) using the properties of logarithms.
[log7x2]-[log7y2+log7z3]=2log7x-(2log7y+3log7z)
400
Solve cot(arccos x)
cot= (x√1-x2/ √1-x2)
400
Solve cos(x-(pi/4))+ sin(x+(pi/4))=0
x= (3pi/4) , (7pi/4)
400
solve for angle B if side a=6 b=8 c=√82
sin= 8/11
cos= 6/11
tan= 8/6
csc= 11/8
sec= 11/6
cot= 6/8
400
What is the change of base formula?
logab= (logcb/logca)
500
Write 2ln8+5lnz as a single logarithm
ln82+lnz5=ln64z5
500
Solve for angle A if side a=12 b=14 c=15
sin= 12/15
cos=14/15
tan=12/14
csc=15/12
sec=15/14
cot=14/12
500
Prove 2tanx/1+tan2x=2sinxcosx
2(sinx/cosx)/(1/cos2x)=2sinxcosx
(2sinx/cosx)(cos2x/1)
2sinxcosx=2sinxcosx
500
Prove sec4x-tan4x=tan2x+sec2x
(sec2x+tan2x)(sec2x-tan2x)
tan2x+sec2x=tan2x+sec2x
500
Name the 8 fundamental trig identities.
1. cscx= 1/sinx
2. secx= 1/cosx
3. cotx= 1/tanx
4. tanx= sinx/cosx
5. cotx= cosx/sinx
6. sin2+cos2=1
7. 1+tan2=sec2
8. 1+cot2=csc2