Simplifying logs
Still simplifying logs
Solving logarithmic equations
SOH CAH TOA
Trig given points
Arclength and law of sines
100
Simplify
log_(3)27
3
100
ln(-3)
non-real solution
100
The inverse of e is?
inverse of any log is?
ln
raising to its base
100
given the picture what is
O=
A=
H=
O=21
A=21
H=29
100
what does r represent in respect to a given point on the unit circle?(hint r is what it starts with)
radius
100
what is
cos^-1(sqrt3/2)=
use unit circle
200
Simplify
ln149
ln149
you can't reduce this its prime!
200
solve
log_(sqrt36)216
3
solve sqrt first 6^3=216
200
solve
2^x=2^1
x=1
200
What is sin𝞱?(ratio is fine)
sin𝞱=21/29
200
What is r for the given point (-12,5)
(-12)^2+5^2=169
sqrt169=13
200
solve the following
sin^-1(sqrt2/2)=
use unit circle
sin^-1(sqrt2/2)=π/4
300
simplify
4lne^5
20
300
simplify in terms of ln2 and ln5
ln(16/25)
this is quotient rule
ln16-ln25
ln2^4-ln5^2
4ln2-2ln5
300
32^(x-1)=4^(x+5)
2^(5(x-1)=2^(2(x+5)
5x-5=2x+10
3x-5=10
3x=15
x=5
300
convert to radians
90^∘
π/2
300
super extra bonus point! worth triple!
complete the table given the point (-12,5)
Sin𝜽=y/r=5/13 csc𝜽=r/y=13/5
cos𝜽=x/r=-12/13 sec𝜽=r/x=13/-12
tan𝜽=y/x=5/-12 cot𝜽=-12/5
300
conceptual understanding
what is sin and cosine used to model with respect to our bodies?
DNA
400
Use any method to simplify.
log_(2)16+log_(2)32=
9
400
DOUBLE POINTS
simplify in terms of ln2 and ln5
ln12.5
quotient rule
ln5^2-ln2
2ln5-ln2
400
solve
100+500log_4x=1100
100+500log_4x=1100
500log_4x=1000
log_4x=2
x=4^2
x=16
400
Solve for 𝞱 use inverse functions to solve, round to the nearest hundredth.
sin^-1(5/12)=63.5^∘
400
what is
sec (π/3)=
1/(1/2)=2
400
solve the following
cos^-1[cos(π/4)]=
π/4
500
Simplify
2log5+log3+2log2
500
ln80=
product rule
ln2^4+ln5
4ln2+ln5
500
7000lnx=-21000
7000lnx=-21000
lnx=-3
x=e^-3
500
Draw the coterminal's with the given angle
π/4
see board
500
What is the
cot ((7π)/4)=
sqrt(2)/2/(-sqrt(2)/2)=-1
500
use the law of sines to solve for a and c
a=2.04
c=5.07