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									Algebra II                                                                           Chapter 8 – 7
Trigonometric Functions
                                             Reference Angles

Reference Angle –


Second Quadrant Angles




For every angle in the second quadrant whose degree measure is θ, there is a reference angle in the first
quadrant whose measure is __________________________________________.


Examples: Express each of the following as the function of a positive acute angle.
      1) sin 117º                                                  2) cos 151º




       3) sin 153º                                                  4) tan 107º




       5) Find the exact value of sin 120º
Third Quadrant Angles




For every angle in the third quadrant whose degree measure is θ, there is a reference angle in the first
quadrant whose measure is ______________________________________.


Examples: Express the following as a function of a positive acute angle.
      6) cos 260º                                           7) sin 211º




       8) tan 210º




       9) Find the exact value of tan 210º
Fourth Quadrant Angles




For every angle in the fourth quadrant whose degree measure is θ, there is a reference angle in the first
quadrant whose measure is _____________________________________________________.

Examples: Express the following as a function of a positive acute angle.
      10) cos 287º                                          11) sin 335º




Model Problems
Express the following as a function of a positive acute angle.
       1) cos 150º                            2) tan 245º                           3) sin 300º




       4) tan 620º                            5) cos (-200)º                        6) tan (-80)º




Express the following as a function of a positive acute angle and find the exact value of the function.
       7) cos 300º                                                   8) tan 120º

								
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