`sin(cos(sinx))`

The function f(x)=sqrt(cos(sinx))+sin^-1((1+x^2)/(2x)) is defined for :

If A=lim_(x to 0) (sin^(-1)(sinx))/(cos^(-1)(cosx))and B=lim_(x to 0)([|x|])/(x), then

The domain of the function f(x)=sqrt(abs(sin^(-1)(sinx))-cos^(-1)(cosx)) in [0,2pi] is

The number of solutions of the equation (2 sin((sin x )/(2)))(cos((sinx)/(2)))(sin(2 "tan" (x)/(2) " cos"^(2) (x)/(2))-3) + 2 = 0 in [0, 2 pi ] is :

If a=int_(0)^(1)(cos(sinx))/(secx)dx, then the value of a^(2)+cos^(2)(sin1) is equal to

If sin(sinx+cosx)=cos(cosx-sinx), and largest possible value of sinx is pi/k , then the value of k is______.

The probability that sin^(-1)(sinx)+cos^(-1)(cosy) is an integer x,y in {1,2,3,4} is

The value of I=int_(0)^(pi)x(sin^(2)(sinx)+cos^(2)(cosx))dx is

The value of the definite integral int_(2pi)^(5pi//2)(sin^(-1)(cosx)+cos^(-1)(sinx))dx is equal to

If the maximum value of x which satisfies the inequality sin^(-1)(sinx) ge cos^(-1)(sinx)" for "x in (pi)/(2), 2pi" is " lambda, then (2lambda)/(3) is equal to (take pi=3.14 )