Prerequisite Skills Curtis, Chris, Camil

Properties of Exponents  Product rule  a n a m =a n+m  Ex =5 5  Quotient rule  a n /a m =a n-m  Ex. 5 5 /5 2 =5 3  Power rule  (a n ) m =a nm  Ex. (9 3 ) 2 =9 6  Negative exponents  a -n =1/a n  Ex =1/4 3

Properties of Logarithms  Power of a log  a logam(n) = m  Ex. 9 log9(10) = 10  Base Law  log a a m = m  log = 10  Product Rule  log a n + log a m = log a nm  Ex. Log log 2 32 = log  Quotient Rule  log a n – log a m = log a (n/m)  Ex. Log – log 2 32 = log 2 8  Power Rule  nlog a m = log a m n  Ex. 3log 2 8 = log 2 512

Converting  The exponential function a n =y can be expressed in logarithmic form as log a y=n  Ex. 4 3 =64 (exponential) log 4 64=3 (logarithmic)  Ex. log =2 (logarithmic) 12 2 =144 (exponential)

The Exponential Function y=2 x Ex. The value of a section of land costs $30000 and it’s value is expected to increase by 15% every 2 years.

The logarithmic Function  The inverse of y=b x is  x=b y Or  log b x=y (logarithmic function) y=2 x y=log 2 x

Trigonometric Ratios Special Triangles: y=sinx y=cosx y=tanx

Radian Measure

SYR CXR TYX & SOH CAH TOA

C.A.S.T Rule C π/2 π2π or 0

Examples of finding exact values

Transformations of graphs

Problem solving

Trig Identities