Cos A/1+ sin A + 1+ sin A /cos A = 2 sec A

Asked by ruhirathiya | 17th Oct, 2019, 05:23: AM

Expert Answer:

LHS = Cos A/(1+ sin A) + (1+ sin A)/cos A 
begin mathsize 16px style fraction numerator cosA over denominator 1 plus sinA end fraction plus fraction numerator 1 plus sinA over denominator cosA end fraction end style
begin mathsize 16px style fraction numerator cos squared straight A plus open parentheses 1 plus sinA close parentheses squared over denominator cosA open parentheses 1 plus sinA close parentheses end fraction end style
begin mathsize 16px style fraction numerator cos squared straight A plus 1 plus 2 sinA plus sin squared straight A over denominator cosA open parentheses 1 plus sinA close parentheses end fraction end style
begin mathsize 16px style fraction numerator 1 plus 1 plus 2 sinA over denominator cosA open parentheses 1 plus sinA close parentheses end fraction end style
begin mathsize 16px style fraction numerator 2 open parentheses 1 plus sinA close parentheses over denominator cosA open parentheses 1 plus sinA close parentheses end fraction end style
begin mathsize 16px style 2 over cosA equals 2 secA end style

Answered by Sneha shidid | 17th Oct, 2019, 09:38: AM