15.sqrt(sin x)

underset contains Let f(x)=(sqrt(sin x))/(1+3sqrt(sin x)) then domain f

y=sqrt [[sin x + sqrt{{sin x + sqrt ((sin x +1…)}}] or y = sqrt(sin x +y) or y^2 = sin x + y Differentiating w.r. to x.

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

the expression ((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))

Find the value of cot^(-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))]=

If y=sqrt(sin x+sqrt(sin x)sqrt(sin x+...........oo)), then (2y-1) (dy)/(dx) is equal to