Download Exam Review Formula Sheet

Exam Review Formula Sheet
Grade 11 College Mathematics
Trigonometry
Right Triangle Trigonometry
B
c
a
Pythagorean Theorem
a2 + b2 = c2
Trigonometric Ratios (SOH CAH TOA)
sinA=OP/HY
cosA=AD/HY
tanA=OP/AD
for example to find an angle from sinA = OP/HY
A = sin-1(OP/HY)
C
A
b
Non Right Triangle Trigonometry
C
Sine Law
a
b
a
sin A

b
sin B
Cosine Law
A
c
Which Path to Choose?
Quadratics
B

c
sin C
a 2  b 2  c 2  2bc cos A
Statistics
Standard Deviation
SD   
 x
x
2
N
x  mean
x  x  values
  Standard Deviation
N  Number of Terms
Standard Deviation using Graphing Calculator
1. Reset your calculator by pressing 2nd+(MEM)7:Reset1:All RAM2:Reset
2. Enter your data in the calculator by pressing STAT
3. Press ENTER and enter your data in the first column L1
4. Press STAT and scroll over to CALC
5. Press ENTERENTER
6. The symbol σx=Standard Deviation; x = mean, if you scroll down Med = median
Exponential Relations
Graphing Exponential
y = abx
ay-intercept
bbase
If b>1-Exponential Growth
If 0<b<1-Exponential Decay
2
y=2(3)x
y=2(1/3)x
Financial Mathematics
Simple Interest
I = Prt
IInterest Earned
PPrinciple
rInterest Rate in decimal (i.e. 4%=0.04)
tThe length of the investment in years (i.e.36 months, t=3)
Compound Interest
n
n
A  P (1  i ) or FV  PV(1  i)
A=FV=Amount or FV
P=PV=Present Value (What you put down today. This value is “-“ on the graphing calculator)
i=interest rate per compound period (i.e. 4%/a compounded monthly: i=0.04/12)
n=number of compounds total (i.e. you invest for 3 years compounded semi-annually: n=3x2=6compounds)
Compound Interest using the TVM Solver
Press APPS1:Finance1:TVM Solver
Time in years
Interest rate in percent as stated in question
Present Value (value is Negative)
PMT stays 0
Future Value
P/Y stays always 1
C/Y Compounds per Year