(cos a /1+sin a)+(cos a /1-sin a)=4

Asked by dwivedipooja1983 | 10th Feb, 2020, 10:05: PM

Expert Answer:

begin mathsize 16px style fraction numerator cosA over denominator 1 plus sinA end fraction plus fraction numerator cosA over denominator 1 minus sinA end fraction space equals space 4
straight L. straight H. straight S space equals space fraction numerator cosA over denominator 1 plus sinA end fraction plus fraction numerator cosA over denominator 1 minus sinA end fraction
space space space space space space space space space space space equals fraction numerator cosA open parentheses 1 minus sinA close parentheses plus cosA open parentheses 1 plus sinA close parentheses over denominator 1 space minus space sin squared straight A end fraction
space space space space space space space space space space space equals fraction numerator cosA minus cosAsinA plus cosA plus cosAsinA over denominator cos squared straight A end fraction
space space space space space space space space space space space equals 2 secA
space space space space space space space space space space space equals 2 space sec space 60 degree space space space space space space space space space space space.... space left parenthesis Take space straight A space equals space 60 degree right parenthesis
space space space space space space space space space space space equals space 4
space space space space space space space space space space space equals space straight R. straight H. straight S
Hence space proved. end style

Answered by Yasmeen Khan | 11th Feb, 2020, 11:47: AM