The number of solutions of the equation `sinxcosx(cosx-sinx)^2(sinx+cosx)=lamda` where `lamda>1/(2sqrt2)` in the interval `[0,4pi]` is

The number of solutions of the equation sinx.cosx(cosx-sinx)^(2). (sinx + cosx) = lambda , where lambda lt 1/(2sqrt(2)) in the interval [0,4pi] is

The number of real solutions of the equation (sinx-x)(cosx-x^2)=0 is

The number of real solutions of the equation (sinx-x)(cosx-x^2)=0 is

The number of real solutions of the equation (sinx-x)(cosx-x^(2))=0 is

The number of solution (s) of the equation sin^4 x + cos^4 x = sinx cosx in [0 , 2pi]

The number of solution of the equation 2(tanx-sinx)+3(cotx-cosx)+5=0x epsilon[0,2pi]

The number of solutions of the equation sin2x-2cosx+4sinx=4 in the interval [0,5pi] is

The number of solutions of the equation xe^(sinx)-cosx=0 in the interval (0,pi//2) , is

The number of solutions of the equation xe^(sinx)-cosx=0 in the interval (0,pi//2) , is