sin alpha times sin[x|][[1,0],[-2,-3]][[x],[3]]=0

If sin 3alpha = 4 sin alpha sin (x + alpha)sin(x-alpha) , then x =

sin x+sin2x+sin3x=0 if :

If sin(x +3alpha)=3 sin (alpha-x) , then

If sin(x +3alpha)=3 sin (alpha-x) , then

If sin(x +3alpha)=3 sin (alpha-x) , then

Let f:[0,2] to RR be the function defined by f(x)=(3-sin (2pix)) sin (pi x-(pi)/(4)) - sin (3pi x+(pi)/(4)) If alpha,beta in [0,2] are such that {x in [0,2]: f(x) ge0}= [alpha, beta] , then the value of beta- alpha is._________

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 :

Find the general solution of the equation sin 3 alpha = 4 sin alpha sin(x + alpha) sin(x - alpha) , given sin alpha ne 0 .

Prove the following : sin alpha+ sin (alpha+ (2 pi)/3)+ sin (alpha+ (4 pi)/3)=0 .

For x in (0, pi) the equation sin x+2 sin 2x-sin 3x=3 has