[" Q.The set of values of "alpha],[" for which "x^(2)-9+ln+sin alpha<20],[" has a solution "]

The set of all values of alpha for which x^(2)-9+|x+sin alpha|<0 has a solution is

If (3 pi)/(4)

The number of values of alpha in [0,2 pi] for which 2sin^(3)alpha-7sin^(2)alpha+7sin alpha=2, is:

The set of values of alpha for which the equation "sin"^(4) x + "cos"^(4) x + "sin" 2x + alpha =0 possesses a solution, is

The real value of alpha for which the expression (1-i sin alpha)/(1+2i sin alpha) is purely real is

The real value of alpha for which the expression (1-i sin alpha)/(1+2 i sin alpha) is purely real is

The real value of alpha for which the expression (1-sin alpha)/(1+2i sin alpha) is purely real is