Final Answer
Step-by-step Solution
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Starting from the left-hand side (LHS) of the identity
Using the sine double-angle identity: $\sin\left(2\theta\right)=2\sin\left(\theta\right)\cos\left(\theta\right)$, where $2\theta=4$
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$\sin\left(4\right)$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity sin(4)=2sin(2)cos(2). Starting from the left-hand side (LHS) of the identity. Using the sine double-angle identity: \sin\left(2\theta\right)=2\sin\left(\theta\right)\cos\left(\theta\right), where 2\theta=4. Since we have reached the expression of our goal, we have proven the identity.