" (iv) "y=sqrt(sin^(2)x-sqrt(sin^(2)x-sqrt(sin^(2)x-cdots+-sin+tan(pi/sin y)))(v)y=2^(ln sin^(-1)2x)+(1)/(tan x))

sqrt((1+sin x)/(1-sin x))=tan((pi)/(4)+(x)/(2))

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

y=sqrt(sin x+sqrt(sin x+sqrt(sin x+longrightarrow oo))) prove that (dy)/(dx)=(cos x)/(2y-1)

If y=(x sin^(-1)x)/(sqrt(1-x^(2)))+log sqrt(1-x^(2)), then prove that (dy)/(dx)=(sin^(-1)x)/((1-x^(2))^((3)/(2)))

If tan(sin^(-1)sqrt(1-x^2))=sin(tan^(-1)2) then x is

If tan(sin^(-1)sqrt(1-x^2))=sin(tan^(-1)2) then x is

y=sqrt(sin x+sqrt(sin x+sqrt(sin x+rarr oo))), provethat (dy)/(dx)=(cos x)/(2y-1)

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

If I=int(sqrt(cot x)-sqrt(tan x))dx, then I equal sqrt(2)log(sqrt(tan x)-sqrt(cot x))+Csqrt(2)log|sin x|cos x+sqrt(sin2x)|+Csqrt(2)log|sin x-cos x+sqrt(2)sin x cos x|+sqrt(2)log|sin(x+(pi)/(4))+sqrt(2)sin x cos x|+C

If y=cot^(-1)[(sqrt(1+sin x)+sqrt(1-sin x))/(sqrt(1+sin x)-sqrt(1-sin x))](0