If the equation SiNx cosx = m about X has no real number solution, then the value range of real number m is

If the equation SiNx cosx = m about X has no real number solution, then the value range of real number m is

SiNx cosx = M1 + 2sinxcosx = m ^ 2Sin (2x) = m ^ 2 - 1 because sin (2x) belongs to [- 1,1], so m ^ 2 - 1 belongs to (- infinity, - 1) U (1, + infinity) m ^ 2 > = 0, m ^ 2 - 1 > = - 1, so m ^ 2 - 1 belongs to (1, + infinity) m ^ 2 belongs to (2, + infinity) m belongs to (- infinity, - root 2) U (root