if `f(x)=3sin(x+pi/6)+cos(x-pi/6)` is always less then or equal to `k` then `k` is

If cos 3x+sin (2x-(7pi)/6)=-2 , then x is equal to (k in Z)

If cos 3x+sin (2x-(7pi)/6)=-2 , then x is equal to (k in Z)

If cos 3 x + sin (2 x - (7 pi)/(6)) = - 2 then x is equal to (k in Z)

The maximum valuue of the function f(x)=Sin(x+pi/6)+Cos(x+pi/6) in the interval (0,pi/2) occurs at x=

If f(x)=sin(2pi[pi[pi^2x)))/(5+[x]^2) Note: [k] denotes the largest integer less than or equal to k.]Then f(x), is

What is int_(-pi//6)^(pi//6) (sin^5 x cos^3 x)/x^4 dx equal to

If f(x)= |cos x- sin x| , then f'((pi)/(3)) is equal to …….

If the sum of all the solutions of the equation 8 cosx.(cos(pi/6+x)cos(pi/6-x)-1/2)=1 in [0,pi] is k pi then k is equal to