同角三角函数的基本关系

来源:百度文库 编辑:神马文学网 时间:2024/05/26 22:38:39

 

 

 

               设:S=SINx  C=COSx  T=TANx  CT=COTx  SE=SECx    CS=CSCx                                                                                                                                       1。                             s2+c2=1    1-s2=c2  1-c2=s   

                          t2+12=se2     se2-12= t2     se2-t2=12                                                    12+ct2=cs2           cs2-ct2=12                cs2-12=ct                         
                                          2.       t*ct=1        1/t=ct         1/ct=t
                                                    se*c=1        1/se=c         1/c=se
                                                   s*cs=1        1/s=cs         1/cs=s
                                                   s*c*t*ct*se*cs=1
                                          3.      se-c=t*s        cs-s=ct*c      t+ct=se*cs
                                          4.      t2-s2=t2*s2     ct2-c2=ct2*c2   se2+cs2=se2*cs2                    
                        5.   s/c=t   t/s=se  se/t=cs  cs/se=ct  ct/cs=c  c/ct=s
                             c/s=ct  ct/c=cs  cs/ct=se  se/cs=t  t/se=s  s/t=c
                        6.  t*c=s   s*ct=c   c*cs=ct   ct*se=cs   cs*t=se   se*s=tt*c=s
                              试一试:(t+ct)/s*c=(  )2+ ( )2      ,(t+ct)/se*cs=(   )+(   )                                              (se+c)?t*s=(   )2+ (  )2     ,    (                  =                )                                                                (se+c)?(       )=(   )+(    )                     ,。。。。。。。。。。。。                                                  。。。。。。。。。。。。。。。。。。。。。。。。