If `f(x)=sin^(-1)cosx ,` then the value of `f(10)+f^(prime)(10)` is (a)`11-(7pi)/2` (b) `(7pi)/2-11` (c)`(5pi)/2-11` (d) none of these

If f(x)=|sinx-|cosx||, then the value of f^(')(x) at x=(7pi)/6 is

The value of int_(-2 pi)^(5 pi)cot^(-1)(tan x)dx is equal to (7 pi)/(2)(b)(7 pi^(2))/(2)(c)(3 pi)/(2) (d) None of these

f(x) = sin^(-1)(sin x) then (d)/(dx)f(x) at x = (7pi)/(2) is

sin^-1 (sin ((7pi)/6))= (A) (7pi)/6 (B) pi/6 (C) -pi/6 (D) none of these

The value of (cos pi)/(11)+(cos(3 pi))/(11)+(cos(5 pi))/(11)+(cos(7 pi))/(11)+(cos(9 pi))/(11)

If f(x)=|sin x-|cos x||, then the value f(x)'atx=(7 pi)/(6) is (a)positive (b) (1-sqrt(3))/(2) (c)0(d) none of these

The value of sum_(k=1)^(10)((sin(2 pi k))/(11)-i(cos(2 pi k))/(11)) is

The value of c in Lagranges theorem for the function f(x)=log sin x in the interval [(pi)/(6),(5 pi)/(6)] is (pi)/(4) (b) (pi)/(2)(2 pi)/(3) (d) none of these

The range of f(x)=sin^(-1)((x^(2)+1)/(x^(2)+2)) is [0,(pi)/(2)] (b) (0,(pi)/(6))( c) [(pi)/(6),(pi)/(2)](d) none of these