Number ofvalues of x in `[0,pi]` for which the equation `sin^(- 1)(sin6x)=cos^(- 1)(cosx)` holds good, is

Number ofvalues of x in [0,pi] for which the equation sin^(-1)(sin6x)=cos^(-1)(cos x) holds good,is

Number of integral solutions of the equation sin^(-1)(sinx)=cos^(-1)(cosx)" in "[0, 5pi] is

Number of real values of x in [0,4 pi] for which |sin x|+|sin x-1|+|sin x-3|+|sin x-4|=6 is:

If x in[0,6 pi],y in[0,6 pi] then the number of ordered pair (x,y) which satisfy the equation sin^(-1)sin x+cos^(-1)cos y=(3 pi)/(2) are

Number of solutions of the equation sin^(-1)(sin6x)=x for x in[0,pi] is

The number of integral roots of the equaiton.sin^(-1)|sin x|=cos^(-1)(cos x) in x in[0,4 pi] are

The number of x in (0,2 pi) satisfying the equation 1+sin2x=sin x+sin^(2)x is