Math 105-02: Calculus I: Reading Homework 4.5

1. The Trigonometric Functions :
   
   1. Derivatives of Sine and Cosine : what does the book initially observe about the derivatives of sine and cosine? how does it initially try to figure out what the derivative of sine might be?
      
      1. derivative of sine : what is the derivative of sine?
         
      2. derivative of cosine : what is the derivative of cosine?
         
   2. Derivative of Tangent : how does the book find the derivative of tangent?
      
      1. derivative of tangent : what is the derivative of tangent?