The number of value/values of x for which sin `y=x^(2)-2x` si possible is

The number of values of x for which sin2x+cos4x=2 is

The number of values of x for which sin2x + cos4x = 2 is

If 0lexltpi/2, then the number of values of x for which sinx-sin2x+sin3x=0 is

If 0<=x<(pi)/(2), then the number of values of x for which sin x-sin2x+sin3x=0, is

The number of values of x for which "sin" 2x + "cos" 4x =2 , is

If 0 le x le (pi)/(2) , then the number of value of x for which sin x - sin 2x + sin 3x = 0 , is

If 0 le x le (pi)/(2) , then the number of value of x for which sin x - sin 2x + sin 3x = 0 , is

The sum of all possible values of cot x for which 9sin x+2cos x=6, is

The number of possible value of alpha for which expression y=(alpha x^(2)+7x-2)/(alpha+7x-2x^(2)) has atleast one common linear factor in numerator and denominator,is-