The solution of the DE ` (dy)/(dx) = (1 - cos x )/( 1+ cos x )` isA. `y = 2 tan ""(x)/(2) - x + C `B. ` y tan ""(x)/(2) - 2x + C `C. ` y = tan x - x + C `D. none of these

The solution of the DE ` (dy)/(dx) = (1 - cos x )/( 1+ cos x )` isA. `

1.	The solution of the DE ` (dy)/(dx) = (1 - cos x )/( 1+ cos x )` isA. `y = 2 tan ""(x)/(2) - x + C `B. ` y tan ""(x)/(2) - 2x + C `C. ` y = tan x - x + C `D. none of these
Answer» Correct Answer - A ` (dy)/(x) = (1 - cos x )/( 1+ cos x) = (2 sin ^(2) (x//2))/( 2 cos ^(2) (x //2)) = tan ^(2) ""(x)/(2) = ( sec ^(2) ""(x)/(2) - 1 )` ` rArr int dy = int ( sec ^(2) ""(x)/(2) - 1 ) dx rArr y = 2 tan ""(x)/(2) - x + C`.