" 62."(" a) "log sqrt((1+sin x)/(1-sin x))

Differentiate log sqrt((1+sin x)/(1-sin x)) with respect to x:

Find ( dy)/( dx) if y = log _(e) sqrt((1 + sin x)/( 1 - sin x )) , where x = pi// 3

If y=log sqrt(((1+sin x)/(1-sin x))), find the value of (dy)/(dx)

If y=log sqrt(((1+sin x)/(1-sin x))), find the value of (dy)/(dx)

If y=log sqrt((1+sin^(2)x)/(1-sin^(2)x)), then find (dy)/(dx)

The value of (sqrt(1 + sin x )+sqrt(1 - sin x))/(sqrt(1 + sin x )-sqrt(1-sin x)) is equal to

show that , cot ^(-1) {(sqrt(1+sin x)+sqrt(1- sin x))/( sqrt(1+sin x)- sqrt(1-sin x))}=(x)/(2),0 lt x lt (pi)/(2)

Differentiate y with respect to x, where [y= tan^-1 { sqrt(1+sin x) + sqrt(1- sin x)} / {sqrt (1+ sin x) - sqrt(1- sin x)}]

cot^(-1)((sqrt(1+sin x)+sqrt(1-sin x))/(sqrt(1+sin x)-sqrt(1-sin x)))=(x)/(2)