Question 35485
<pre><font size = 5><b>
Find the exact values for the trig functions, with the radian measure:
                          15<font face = "symbol">p</font>/4

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                         sin(15<font face = "symbol">p</font>/4) = 

                   sin(16<font face = "symbol">p</font>/4 - <font face = "symbol">p</font>/4) =

                      sin(4<font face = "symbol">p</font> - <font face = "symbol">p</font>/4) =
    
sin(4<font face = "symbol">p</font>)·cos(<font face = "symbol">p</font>/4) - cos(4<font face = "symbol">p</font>)·sin(<font face = "symbol">p</font>/4) =

          0·cos(<font face = "symbol">p</font>/4) - (1)·sin(<font face = "symbol">p</font>/4) =

                          -sin(<font face = "symbol">p</font>/4) = 
                              _ 
                            -<font face = "symbol">Φ</font>2/2

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                         cos(15<font face = "symbol">p</font>/4) = 

                   cos(16<font face = "symbol">p</font>/4 - <font face = "symbol">p</font>/4) =

                      cos(4<font face = "symbol">p</font> - <font face = "symbol">p</font>/4) =
    
cos(4<font face = "symbol">p</font>)·cos(<font face = "symbol">p</font>/4) - sin(4<font face = "symbol">p</font>)·sin(<font face = "symbol">p</font>/4) =

          1·cos(<font face = "symbol">p</font>/4) - (0)·sin(<font face = "symbol">p</font>/4) =

                           cos(<font face = "symbol">p</font>/4) = 
                              _ 
                             <font face = "symbol">Φ</font>2/2

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                         tan(15<font face = "symbol">p</font>/4) = 

                  sin(<font face = "symbol">p</font>/4)/cos(<font face = "symbol">p</font>/4) =
     
                              _ 
                             <font face = "symbol">Φ</font>2/2 
                            ——<u>—</u>—— =
                            -<font face = "symbol">Φ</font>2/2
 
                                -1
    
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                         sec(15<font face = "symbol">p</font>/4) =

                             1
                       ———————————— =
                        cos(15<font face = "symbol">p</font>/4) 

                               1
                             ——<u>—</u>——— =
                              <font face = "symbol">Φ</font>2/2

                                2
                             ———<u>—</U>—— =
                               <font face = "symbol">Φ</font>2
                                 _
                          2     <font face = "symbol">Φ</font>2
                        ——<u>—</u>— · ——<u>—</u>—— =
                         <font face = "symbol">Φ</font>2     <font face = "symbol">Φ</font>2                        
                                 _
                               2<font face = "symbol">Φ</font>2  
                              ————— =
                                2

                               1 _
                               <s>2</s><font face = "symbol">Φ</font>2  
                              ————— =
                                <s>2</s>
                                1
                                  _
                                 <font face = "symbol">Φ</font>2

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                         csc(15<font face = "symbol">p</font>/4) =

                             1
                       ———————————— =
                        sin(15<font face = "symbol">p</font>/4) 

                               1
                             ——<u>—</u>——— =
                             -<font face = "symbol">Φ</font>2/2

                                2
                           - ———<u>—</U>—— =
                               <font face = "symbol">Φ</font>2
                                 _
                          2     <font face = "symbol">Φ</font>2
                      - ——<u>—</u>— · ——<u>—</u>—— =
                         <font face = "symbol">Φ</font>2     <font face = "symbol">Φ</font>2                        
                                 _
                               2<font face = "symbol">Φ</font>2  
                            - ————— =
                                2

                               1 _
                               <s>2</s>V2  
                            - ————— =
                                <s>2</s>
                                1

                               _
                             -<font face = "symbol">Φ</font>2

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                         cot(15<font face = "symbol">p</font>/4) =

                             1
                       ———————————— =
                        tan(15<font face = "symbol">p</font>/4)

                            1/(-1)  =

                                -1  

Edwin McCravy
AnlytcPhil@aol.com</pre>