AM-2619

Addition formulae

A Math · Secondary 4 · Hard · Addition formulae

The function is

y = 4\sin 2x \cos x

. Show that

y = 2\sin 3x - 2\sin x

.

Statement is true; identity holds for all real $x$ .
Left side simplifies to $4\sin3x$ , so the statement is false.
Left side simplifies to $2\sin3x+2\sin x$ , so the statement is false.
Left side simplifies to $2\sin3x-\sin x$ , so the statement is false.

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