Math104 Precalculus                           Trigonometric Functional Values                                Notes T4.4

 

I.       Signs of the Trig Functions

A

 

A

 

S

 

S

 

 

 

 

 


T

 
                                                                                    

T

 

C

 

C

 
 

 

 

 

 

 

 


II.      Degree and Radian Measures of Special and Quadrantal Angles

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 


III.    Special Right Triangles (revisited)


Math104 Precalculus                                                          Notes T4.4                                                                                            page 2

 


IV.    Reference Angles

 

 

 

 

 

 

 

 

 


            The reference angle of is:

 

 

            The reference angle of is:

 

 

            The reference angle of  is:

 

Examples

 

            1.         Find the exact value of all six trig functions at the point (2,-3)

 

 

 

 

 

 

 

 

 

 

 

 

            2.         If ,  in quadrant III, find the values of the remaining five trig functions.

 

 

 

 

 

 

 


Math104 Precalculus                                                          Notes T4.4                                                                                            page 3

 

IV.       Examples (con’t)

 

            3.         Find the exact value of tan 270º

 

 

 

            4.         If , <0, find the values of the remaining five trig functions.

 

 

 

 

 

 

 

 

 

 

 

 

            5.         Using reference angles, find the exact value of  cos 300º

 

 

 

 

 

 

 

 

 

 

 

            6.         Using reference angles, find the exact value of sin (-3π/4)