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24.notebook                                                     November 01, 2012



              24. Sums of Trig Functions, Combining Functions

                                   o          o
                1. Evaluate: cos 60  + sin 45




                                                                                    1
24.notebook                                    November 01, 2012


                                 o         o
              2. Evaluate: tan 30  + cos 45




                                                                   2
24.notebook                                      November 01, 2012


                                 o           o
              3. Evaluate: tan 45  + 2 tan 30




                                                                     3
24.notebook                                          November 01, 2012



                                        1
              4. Evaluate √6 sin 30o +     tan 60o
                                      √2




                                                                         4
24.notebook                                                             November 01, 2012



              Combining Functions

              5. If f(x) = log x and g(x) = x2 + 6, find (g    f)(x).




                                                                                            5
24.notebook                                                                  November 01, 2012

                                             2
              6. If f(x) = x + 2 and g(x) = x  + 3 find:

              a) (f + g)(6)     b) (f ­ g)(6)     c) (fg)(6)   d) (f/g)(6)




                                                                                                 6
24.notebook                                                November 01, 2012



              7. If f(x) = x + 2 and g(x) = x2 + 3 find:




                                                                               7

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Lesson 24

  • 1. 24.notebook November 01, 2012 24. Sums of Trig Functions, Combining Functions o o 1. Evaluate: cos 60  + sin 45 1
  • 2. 24.notebook November 01, 2012 o o 2. Evaluate: tan 30  + cos 45 2
  • 3. 24.notebook November 01, 2012 o o 3. Evaluate: tan 45  + 2 tan 30 3
  • 4. 24.notebook November 01, 2012   1 4. Evaluate √6 sin 30o +     tan 60o √2 4
  • 5. 24.notebook November 01, 2012 Combining Functions 5. If f(x) = log x and g(x) = x2 + 6, find (g    f)(x). 5
  • 6. 24.notebook November 01, 2012 2 6. If f(x) = x + 2 and g(x) = x  + 3 find: a) (f + g)(6) b) (f ­ g)(6) c) (fg)(6) d) (f/g)(6) 6
  • 7. 24.notebook November 01, 2012 7. If f(x) = x + 2 and g(x) = x2 + 3 find: 7