5.3 Sum and Difference Identities for Cosine

 

Common ERROR!!

and similarly for sum and sum or difference with sine!!

 

 

Cosine of a Sum or Difference

         

         

 

Fraction review:!! 

 

Common Sums and Differences

 

Note:     Find values of sums and differences of multiples of 30/45/60

            etc.

 

Example 1

 

Find the exact value of each expression:      

a)                                       b)                              

 

 

 

 

 

 

 

c) 

 


Co function Identities

         

Similar identities exist for

 

Example

Find and angle θ that satisfies each of the following:

a)                                  b)                  

 

 

 

 

c) 

 

 

 

 

Using Formulas to find a function of a Single Variable

 

Example

Write  as a trigonometric function of θ alone.

 

 

 

 

 

Finding cosine of a sum given information about the addends

 

Example

Suppose that   and both s and t are in quadrant IV.

Find                                                                          Ans: