Question

how do i verify sin3xcos3x = 1/2(sin6) ????

Answer 1

you must be meaning sin6x there?hmm?

Answer 2

sin 6x = sin 2 (3x) = 2 sin3x . cos 3x

Answer 3

\[\iff 2\sin(3x)\cos(3x)\]You may recognize that this is \(\sin(2\cdot 3x)\)

Answer 4

\[\sin(6x) = 2\sin(3x)\cos(3x)\]Divide both sides by \(2\).

Answer 5

so 1/2(sin6x) = sin3x . cos 3x

Answer 6

RHS ======== LHS

Answer 7

thankyou everyone1

Answer 8

as we know that sin2x=2sinx.cosx...standard formula
by this we can easily say that
sin2(3x)=2sin3x.cos3x........
1/2 sin2(3x)=sin3xcos3x.............
by above we can say..........
1/2(sin6) =sin3xcos3x