If n be the number of solutions of the equation
, then n =
Because of we will consider two cases when,
This is not possible.
The number of values of x in the interval satisfy the equation is
The number of solutions of the pair of equations
in the interval is
If are the smallest +ive angles in ascending order of magnitude which have their sines equal to a +ive quantity then the value of
The equation possesses a solution if
The number of values of x in the interval satisfying the equation is
The number of solutions of the equation
The values of x between 0 and which satisfy the equation
are in A.P. The common difference of the A.P.