Problem

Simplify the expression \(2\sin(3x)\)

Answer

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Answer

Then simplify the expression, we get \(6\sin(x) - 8\sin^3(x)\)

Steps

Step 1 :Using the triple-angle formula, we can rewrite \(\sin(3x)\) as \(3\sin(x) - 4\sin^3(x)\)

Step 2 :Substitute the above expression back into the original expression, we get \(2(3\sin(x) - 4\sin^3(x))\)

Step 3 :Then simplify the expression, we get \(6\sin(x) - 8\sin^3(x)\)

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