Math

Math

1. Exponential Decay Functions

   • Decay Function
     • P= Po (1-r)^n
   • Basic Exponential Function
     • f(x)= b^x
       • where 0<b<1
       • g(x)= a(b)^x-h +k
         • asymptote = k

2. Compound Interest

   • Simple Interest
     • I= Prt
   • Compound Interest
     • V(t)= P(1+r/n) ^nt
   • Compound Interest (Continuous)
     • V(t)= Pe^rt

3. Angles of Rotation and Radian Measure

   • Deg. to Rad.= Deg.(π/180°)
   • Rad. to Deg.= Rad.(180°/π)
   • Co-terminal Angles are Angles that have the same terminal side as the other
   • Angles can have multiple Negative and Positive Co-terminal angles

4. Defining and Evaluating the Basic Trigonometric Functions

   • Each Angle has its Co-ordinates P( x , y )
   • P(rcosθ, rsinθ)
     • in unit circle, r=1
     • => P(cosθ, sinθ)
   • To find the co-ordinates of any angle, you can use its reference angle to find it.
     • Reference angles are positive and acute angles.

5. Using Pythagorean Identity

   • Trigonometric Identity: tanθ = sinθ/cos θ
   • Pythagorean Identity: sin^2θ+cos^2θ = 1

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