` x sin 3 x `

If sin^3 x cos 3x + cos^3 x sin 3x = 3//8 , then the value of 8 sin 4x is ............

If sin^(3) x cos 3x + cos^(3) x sin 3x = 3//8 , then the value of 8 sin 4x is ____________.

(cos 2x sin x + cos 6x sin 3x)/(sin 2x sin x + sin 6x sin 3x) =cot 5x

If f(x) = |(sin x + sin 2x + sin 3x, sin 2x , sin 3x),(3 + 4 sin x, 3, 4 sin x),(1 + sin x, sin x, 1)| then the value of int_0^(-pi//2) f(x) dx equals :

Period of the function f(x) =(1)/(3){sin 3x + |sin 3x | + [sin 3x]} is (where [.] denotes the greatest integer function )

Period of the function f(x) =(1)/(3){sin 3x + |sin 3x | + [sin 3x]} is (where [.] denotes the greatest integer function )

Period of the function f(x) =(1)/(3){sin 3x + |sin 3x | + [sin 3x]} is (where [.] denotes the greatest integer function )

cot 4x (sin 5x + sin 3x) = cot x (sin 5x - sin 3x)

cot 4x (sin 5x + sin 3x) = cot x (sin 5x - sin 3x)