If `g(x)=(4cos^4x-2cos2x-1/2cos4x-x^7)^(1/7)` then the value of `g(g(100))` is equal to

Let a=sin^(-)(sin3)+sin^(-1)(sin4)+sin^(-1)(sin5),f(x)=e^(x^(2)+|x|), domain of f(x) be [a,oo) & range of f(x) be [b,oo) and g(x)=(4cos^(4)x-2cos2x-1/4"cos"4x-x^(7))^(1//7) , domain & range of g(x) is set of real numbers. Which of the following are correct

Let f(x)=sin^(-1)((2x)/(1+x^(2))) and g(x)=cos^(-1)((x^(2)-1)/(x^(2)+1)) . Then tha value of f(10)-g(100) is equal to

If f (x) =int _(0)^(g(x))(dt)/(sqrt(1+t ^(3))),g (x) = int _(0)^(cos x ) (1+ sint ) ^(2) dt, then the value of f'((pi)/(2)) is equal to:

If f (x) =int _(0)^(g(x))(dt)/(sqrt(1+t ^(3))),g (x) = int _(0)^(cos x ) (1+ sint ) ^(2) dt, then the value of f'((pi)/(2)) is equal to:

If f(x)=2x^(2)-4 and g(x)=2^(x) , the value of g(f(1)) is

Consider the function g(x) defined as g(x) (x^(2011-1)-1)=(x+1)(x^2+1)(x^4+1)...(x^(2^(2010))+1)-1 . Then the value of g(2) is equal to

If sin^4 x + cos^4 x = 7/2 sinx.cosx, then the value of x equals to

If 5(tan^2x - cos^2x)=2cos 2x + 9 , then the value of cos4x is

If 5(tan^2x - cos^2x)=2cos 2x + 9 , then the value of cos4x is

If f(x) = 2 sinx, g(x) = cos^(2) x , then the value of (f+g)((pi)/(3))