Math 105-02: Calculus I: Reading Homework 1.9--10

1. Trigonometric Functions : what are trigonometric functions?
   
   1. Radians : what is a radian? why might we use radians instead of degrees?
      
      1. Arc length : how is arc length related to an angle measured in radians?
         
   2. Basic Trig Functions :
      
      1. sin(x) : how is sin(x) defined?
         
      2. cos(x) : how is cos(x) defined?
         
   3. Amplitude, Period and Phase : what do we mean if we say a function is periodic?
      
      1. Amplitude : what is the amplitude of a function?
         
      2. Period : what is the period of a function?
         
      3. Phase : what is phase difference?
         
      4. and Trig Functions : how can we create a sinusoidal function with a specified amplitude and period?
         
   4. Tangent : what is tan(x)? what it is its period? amplitude?
      
   5. Inverse Trig Functions : what does an inverse trig function do?
      
2. Polynomials and Rational Functions :
   
   1. Polynomials : what is a polynomial? how many turns might one have? what is true about the zeros and factors of a polynomial?
      
   2. Rational Functions : what is a rational function?
      
      1. Vertical Asymptotes : when will a rational function have vertical asymptotes?
         
      2. Horizontal Asymptotes : when will a rational function have horizontal asymptotes?