Prove(Cos a\\1+sin a)+(1+sin a\\cos a) = 2 sec a

1.	Prove(Cos a\\1+sin a)+(1+sin a\\cos a) = 2 sec a
Answer» LHS{tex}=\\frac{\\cos A}{1+\\sin A}+\\frac{1+\\sin A}{\\cos A}{/tex}{tex}=\\frac{\\cos ^{2} A+(1+\\sin A)^{2}}{(1+\\sin A) \\cos A}{/tex}{tex}=\\frac{\\cos ^{2} A+\\sin ^{2} A+1+2 \\sin A}{(1+\\sin A) \\cos A}{/tex}{tex}=\\frac{2(1+\\sin A)}{(1+\\sin A) \\cos A}{/tex}{tex}=\\frac{2}{\\cos A}{/tex}\xa0= 2 sec A RHS

Discussion