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ratjessica ratjessica
  • 16-03-2015
  • Mathematics
Answered

verify this trig function.

tanysiny = secy-cosy ?

Verified Answer :

Anonymous Anonymous
  • 16-03-2015

\(LHS\\ \\ =\tan { y } \sin { y } \\ \\ =\frac { \sin { y } }{ \cos { y } } \cdot \sin { y }\)

\(\\ \\ =\frac { \sin ^{ 2 }{ y } }{ \cos { y } } \\ \\ =\frac { 1-\cos ^{ 2 }{ y } }{ \cos { y } }\)

\(\\ \\ =\frac { 1 }{ \cos { y } } -\frac { \cos ^{ 2 }{ y } }{ \cos { y } } \\ \\ =\sec { y } -\cos { y } \\ \\ =RHS\)

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