Find the number of solutions of the equations `y=|sinx| and x^(2)+y^(2)=1.`

Find the number of solution of the equations sin^3 x cos x + sin^(2) x* cos^(2) x+sinx * cos^(3) x=1 , when x in[0,2pi]

Find the number of solution of the equations |cot x|= cot x +(1)/(sin x), when x in [0,2pi]

Find the number of solution of the equation 1+e^(cot^(2)x)=sqrt(2|sinx|-1)+(1-cos2x)/(1+sin^4x)forx in (0,5pi)dot

Find the principal solutions of the equation sinx=sqrt(3)/(2) .

The number of solutions of the equation [y+[y]]=2 cosx, where y=(1)/(3)[sinx+[sinx+[sinx]]] (where [.] denotes the greatest integer function) is

Find the set of all solutions of the equation 2^|y| -|2^(y -1) -1| = 2^(y -1) +1

Find the number of positive integral solution of the equation tan^(-1)x+cos^(-1)y/(sqrt(1+y^2))=sin^(-1)3/(sqrt(10))