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provw that
tanA+secA-1/tanA-secA+1=secA+tanA=1+sinA/cosA

Asked by Abhishek 2nd July 2016, 1:44 AM
Answered by Expert
Answer:

begin mathsize 16px style fraction numerator tan A plus s e c A minus 1 over denominator tan A minus s e c A plus 1 end fraction
equals fraction numerator left parenthesis t a n A plus s e c A right parenthesis minus 1 over denominator t a n A minus s e c A plus 1 end fraction
equals fraction numerator left parenthesis t a n A plus s e c A right parenthesis minus left parenthesis s e c squared A minus tan squared A right parenthesis over denominator t a n A minus s e c A plus 1 end fraction
equals fraction numerator left parenthesis t a n A plus s e c A right parenthesis minus left parenthesis s e c A minus t a n A right parenthesis left parenthesis s e c A plus tan A right parenthesis over denominator t a n A minus s e c A plus 1 end fraction
equals fraction numerator left parenthesis t a n A plus s e c A right parenthesis left square bracket 1 minus left parenthesis s e c A minus t a n A right parenthesis right square bracket over denominator t a n A minus s e c A plus 1 end fraction
equals fraction numerator left parenthesis t a n A plus s e c A right parenthesis left square bracket 1 minus s e c A plus t a n A right square bracket over denominator t a n A minus s e c A plus 1 end fraction
equals fraction numerator left parenthesis t a n A plus s e c A right parenthesis left parenthesis tan A minus s e c A plus 1 right parenthesis over denominator left parenthesis t a n A minus s e c A plus 1 right parenthesis end fraction
equals tan A plus s e c A
equals s e c A plus tan A space space space space space space.... left parenthesis p r o v e d right parenthesis
equals fraction numerator 1 over denominator c o s A end fraction plus fraction numerator sin A over denominator c o s A end fraction
equals fraction numerator 1 plus sin A over denominator cos A end fraction space space space space space space..... left parenthesis p r o v e d right parenthesis
end style

Answered by Expert 4th July 2016, 6:01 PM
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