How does sinxcosxtanxcotxsecxcscx=1

Question

I am learning about trigonometry identities

Answer 1

 

 

         (SIN X)  (COSX)  (SINX)  (COS X)  (SIN X)  (  1   )   (  1)

        _______ ______  _____   ______  ______  _____  _____

            1               1       (COS X) (SIN X)  (COS X) (COS X) (SIN X)                      

 

 

                                          NOW FROM ABOVE JUST CROSS OUT THE TOP AND BOTTOM

 

                                                 THAT ARE THE SAME..AND  I SUGGEST START FROM

 

                                                    RIGHT   GOING LEFT AS YOU CROSS OUT   AND YOUR RESULT

 

                                                    SHOULD BE:

 

            =   (SIN X)   ----->   TOP

                ________

                 (COS X)  ------>   BOTTOM

 

         =    TAN X  ------>       ANSWER   

 

                                                   HOPE THIS HELPS!

 

                                                         OSCAR

 

Answer 2

(cosx)(sinx)(tanx)(cotx)(secx)(cscx)

 

  = (cosx)(secx)(sinx)(cscx)(tanx)(cotx)

 

  = (cosx)[1/cosx](sinx)[1/sinx](tanx)[1/(tanx)]

 

  = (1)(1)(1) = 1

Answer 3

Well not exactly

sec and csc are inverses so the product equals 1

tan and cot are inverses so the product equals 1

That leaves

sinx cosx = 1

that is true for only specific values of x.