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antonia0794
antonia0794 antonia0794
  • 04-03-2015
  • Mathematics
Answered

Verify that 1 + cot2 x = csc2 x is an identity.

Verified Answer :

Anonymous Anonymous
  • 04-03-2015

\(\sin ^{ 2 }{ x } +\cos ^{ 2 }{ x } =1\\ \\ \frac { \sin ^{ 2 }{ x+\cos ^{ 2 }{ x } } }{ \sin ^{ 2 }{ x } } =\frac { 1 }{ \sin ^{ 2 }{ x } }\)

\(\\ \\ \frac { \sin ^{ 2 }{ x } }{ \sin ^{ 2 }{ x } } +\frac { \cos ^{ 2 }{ x } }{ \sin ^{ 2 }{ x } } =\frac { 1 }{ \sin ^{ 2 }{ x } } \\ \\ 1+\cot ^{ 2 }{ x } =\csc ^{ 2 }{ x }\)

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