If ` f ( x) = cos^(-1) ( cos ( x + 1) ) " and " g(x) = sin ^(-1) ( sin (x + 2))`, then

The domain of f(x) =cos ^(-1) (sec (cos ^(-1) x)) + sin ^(-1) ( cosec( sin ^(-1) x)) is

If f(x) = (cos x + i sin x)(cos 3x + i sin 3x) ….(cos (2n - 1)x + i(sin(2n - 1)x) , then f^(11)(x) is

1- (sin ^ (2) x) / (1 + cos x) + (1 + cos x) / (sin x) - (sin x) / (1-cos x) =

If linear function f(x) and g(x) satisfy int[(3x-1) cos x + (1-2x)sinx]dx = f(x) cos + g(x) sin x + C , then

f(x)=sin^(-1)(sin x), g(x)=cos^(-1)(cos x) , then :

f(x)=(cos^(2)x)/(1+cos x+cos^(2)x) and g(x)=k tan x+(1-k)sin x-x, where k in R,g'(x)=

If f(x) = (1+sin x - cos x)/(1- sin x - cos x ) , x != 0 is continuous at x = 0 , then : f(0) =

If f(x) =(1+sin x - cos x)/(1-sin x - cos x ), x != 0 , is continuous at x = 0 , then f(0) = ………