" 6."f(x)=sin2x-x,(-pi)/(2)<=x<=(pi)/(2)

The difference between the greatest and the least values of the function f(x)=sin2x-x on [-(pi)/(2),(pi)/(2)]

The minimum value of f(x)= "sin"x, [(-pi)/(2),(pi)/(2)] is

If f(x) is defined by f(x)=sin2x, if x =(pi)/(6) Find the values of a and b, if f(x) and f'(x) are continuous at x=(pi)/(6)

The difference between the greatest between the greatest and least value of the function f(x)=sin2x-x" on"[-pi//2,pi//6] , is

If f(x)=sin^(2)((pi)/(8)+(x)/(2))-sin^(2)((pi)/(8)-(x)/(2)) then the period of f is

If f(x)=sin^(2)((pi)/(8)+(x)/(2))-sin^(2)((pi)/(8)-(x)/(2)) then period of f(x) is

f(x)+sin xf(x+pi)=sin^(2)x

Let f(x)=sin[(pi)/(6)sin((pi)/(2)sin x)] for all x in R

Consider f(x)=sin3x,0<=x<=(pi)/(2), then (a) f(x) is increasing for x in(0,(pi)/(6)) and decreasing for x in((pi)/(6),(pi)/(2)) (b) f(x) is increasing forx in(0,(pi)/(4)) and decreasing for x in((pi)/(4),(pi)/(2)) (c) f(x)