[cosx(tanx-secx)]/(1-cscx)=sinx Verify identity

Please help me with this tough one. VERIFYING idendtities!!
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1 Answer

[cosx(tanx-secx)]

(1-cscx)                          =         sinx

[cosx(sinx   -       1   )     

         (cosx       cosx)

------------------------------  =         sinx

 (1 -      1     )

         sinx

divide out the cosx, put bottom over sinx

(sinx -1)

      1

------------------             = sinx

sinx - 1

sinx

sinx -1    sinx

--------- * -------            = sinx

     1       sinx -1

sinx = sinx     proved

 

by Level 10 User (55.7k points)

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