[" Let "f(x)=xcos^(-1)(-sin|x|)],[x in[-(pi)/(2),(pi)/(2)]," then which of the "],[" following is true? "]

Let f(x) = x cos^(-1)(-sin|x|) , x in (-pi/2,pi/2)

Let f(x) = x cos^(-1)(sin-|x|) , x in (-pi/2,pi/2)

If f(x)=sin x,x in [-pi//2,pi//2] then which one of the following is not correct ?

If f(x)={(1,xlt0),(1+sinx,0 le x le(pi)/2),(2+(x-(pi)/2),(pi)/2lex):} then which of the following is true for f(x)?

Let f(x)=sin x+2cos^(2)x,x in[(pi)/(6),(2 pi)/(3)] then maximum value of f(x) is

Let f(x) = |x|+|sin x|, x in (-pi/2, (3pi)/2) . Then, f is :

Let f:(0,pi) rarr R be a twice differentiable function such that lim_(t rarr x) (f(x)sint-f(t)sinx)/(t-x) = sin^(2) x for all x in (0,pi) . If f((pi)/(6))=(-(pi)/(12)) then which of the following statement (s) is (are) TRUE?

Let f(x)=|x|+|sin x|, x in (-pi//2,pi//2). Then, f is