If `m, n in N`( `n> m`), then number of solutions of the equation `n|sinx|=m|sinx| ` in `[0, 2pi]` is

If m and n ( gt m) are positive integer, the number of solutions of the equation n | sin x| = m | cos x | in [0, 2 pi] is

If m and n(n > m) are positive integers, then find the number of solutions of the equation n|sinx|=m|cosx|' for x in [0,2pi]dot Also find the solution.

If m and n(n>m) are positive integers, then find the number of solutions of the equation n|sin x|=m|cos x| for x in[0,2 pi] Also find the solution.

If m and n(n > m) are positive integers, then find the number of solutions of the equation n|sinx|=m|cosx|forx in [0,2pi]dot Also find the solution.

If ma n dn(n > m) are positive integers, then find the number of solutions of the equation n|sinx|=m|cosx|forx in [0,2pi]dot Also find the solution.

If ma n dn(n > m) are positive integers, then find the number of solutions of the equation n|sinx|=m|cosx|forx in [0,2pi]dot Also find the solution.

If number of solution and sum of solution of the equation 3sin^(2)x-7sinx +2=0, x in [0,2pi] are respectively N and S and f_(n)(theta)=sin^(n)theta +cos^(n) theta . On the basis of above information , answer the following questions. Value of N is