Page 17 - Student Binder for AP Unit 1 Unit Circle_Neat
P. 17

AP 1.6 Classwork
               Name _____________________________Date __________Class _________


               1. Find the values of the six trigonometric functions of θ  given a 5-12-13 triangle.  It is in
               quadrant I.






                                     3           3π
               2. Given that sin θ =    , π  θ <<   , find cos     and tan    .
                                     4           2




               3. State the positive trigonometric functions for each quadrant.




                             2
               4. If cosθ =    and lies in quadrant IV.  At what angle is that?
                            2


               5. Find the exact values of the sin, cos, tan functions for a point that lies on the terminal side of an
               angle at (-3, -2).


               6. a. State reference angles for 135°. 340°, -60°.
                  b. State the radian measure for  135°. 340°, -60°.


                                               5π   7π
               7. State the degree measure for    ,    and 3π .
                                               12   16


               8. State a positive and negative angle that is coterminal with -212 degrees.


               9. State the radian measure(s)  at which the tangent is undefined.


               10. Where is the cosine function undefined?  What about sine?


               Complete the unit circle.
                                                                     ____° ___ ( ___ , ___ )
                                                   ____° ___ ( ___ , ___ )              ____° ___ ( ___ , ___ )
                                                ____° ___ ( ___ , ___ )                    ____° ___ ( ___ , ___ )
                                             ____° ___ ( ___ , ___ )                         ____° ___ ( ___ , ___ )



                                                                                               ____° ___ ( ___ , ___ )
                                            ____° ___ ( ___ , ___ )
                                                                                               ____° ___ ( ___ , ___ )

                                              ____° ___ ( ___ , ___ )                        ____° ___ ( ___ , ___ )

                                                ____° ___ ( ___ , ___ )                    ____° ___ ( ___ , ___ )
                                                   ____° ___ ( ___ , ___ )             ____° ___ ( ___ , ___ )
                                                                     ____° ___ ( ___ , ___ )
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