Trigonometric Formulas & Identities

 

Definitions

                                                        

 

                                                      

 

                                                

 

***Know all unit circle values and the characteristics (amplitude, period, phase shift,

      vertical shift) of the graphs of the six basic trigonometric functions***

 

Identities

 

                                                                 

 

 

Addition/Subtraction Formulas                         Double Angle Formulas

 

                                   

 

                                  

                                                                                                          

                                                                                                          

 

                                                                              

 

 

Half Angle Formulas

 

                                       

 

                                                                                                                        

 

 

Pythagorean Thm.*                Law of Sines*                        Law of Cosines*

    (only in right )    

                                                                          

 

Area of any Triangle (Heron's Formula)*

 

   where s is the semiperimeter

           

*where a, b, and c are the sides opposite the respective angles A, B, and C in

  any triangle

 

 

Product Formulas                                               Opposite Formulas

                                    

                                      

                                       

 

Supplements Formulas                                       Complements Formulas

                                                                              

                                                                          

                                                              

 

Inverse Functions

 

                                      

 

Complex Numbers

 

  where