Final Answer
Step-by-step Solution
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Starting from the right-hand side (RHS) of the identity
Apply the trigonometric identity: $\sin\left(\theta \right)^3$$=\frac{3\sin\left(\theta \right)-\sin\left(3\theta \right)}{4}$
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$3\sin\left(x\right)-4\sin\left(x\right)^3$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity sin(3x)=3sin(x)-4sin(x)^3. Starting from the right-hand side (RHS) of the identity. Apply the trigonometric identity: \sin\left(\theta \right)^3=\frac{3\sin\left(\theta \right)-\sin\left(3\theta \right)}{4}. Simplify the product -(3\sin\left(x\right)-\sin\left(3x\right)). Multiply -1 times -1.