The period of the function `f(x)=c^(sin^2x+(sin(x+pi/3))^2+cosxcos(x+pi/3))` is (where `c` is constant) 1 (b) `pi/2` (c) `pi` (d) cannot be determined

Verify that the period of function f(x) =sin^(10)x " is " pi.

The maximum value of the function f(x)=sin(x+pi/6)+cos(x+pi/6) in the interval (0,pi/2) occurs at pi/(12) (b) pi/6 (c) pi/4 (d) pi/3

The greatest value of the function f(x)=(sin2x)/(sin(x+pi/4)) on the interval (0,pi/2)i s 1/(sqrt(2)) (b) sqrt(2) (c) 1 (d) -sqrt(2)

The period of the function f(x)=(6x+7)+cospix-6x , where [dot] denotes the greatest integer function is: 3 (b) 2 pi (c) 2 (d) none of these

If f(x)=sin^2x+sin^2(x+pi/3)+cosxcos(x+pi/3)a n dg(5/4=1, then (gof)(x) is ____________

If f(x)=sin^2x+sin^2(x+pi/3)+cosxcos(x+pi/3)a n dg(5/4)=1, then (gof)(x) is ____________

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

The value of c is Rolle's theoram for the function f(x) = cos ((x)/(2)) on [pi, 3pi] is:

The domain of the function f(x)=1/(sqrt({sinx}+{sin(pi+x)})) where {dot} denotes the fractional part, is (a) [0,pi] (b) (2n+1)pi/2, n in Z (c) (0,pi) (d) none of these

The value of a for which the function f(x)=asinx+(1/3)sin3x has an extremum at x=pi/3 is 1 (b) -1 (c) 0 (d) 2