sin(90-A)cos(90-A)=tanA/1+tan^2A

Asked by pereiracalida | 21st Nov, 2017, 06:27: PM

Expert Answer:

begin mathsize 16px style straight L. straight H. straight S. equals sin space left parenthesis 90 degree minus straight A right parenthesis space cos space left parenthesis 90 degree minus straight A right parenthesis equals cos space straight A space sin space straight A
straight R. straight H. straight S. equals fraction numerator tan space straight A over denominator 1 plus tan squared space straight A end fraction equals fraction numerator tan space straight A over denominator sec squared space straight A end fraction equals fraction numerator begin display style bevelled fraction numerator sin space straight A over denominator cos space straight A end fraction end style over denominator begin display style bevelled fraction numerator 1 over denominator cos squared space straight A end fraction end style end fraction equals fraction numerator sin space straight A over denominator cos space straight A end fraction cross times fraction numerator cos squared space straight A over denominator 1 end fraction equals sin space straight A space cos space straight A
Hence comma space straight L. straight H. straight S. equals straight R. straight H. straight S.
end style

Answered by Rashmi Khot | 29th Nov, 2017, 12:44: PM