Identify sin(2x)
Understand the Problem
The question is asking for the identity related to sin(2x), specifically the double angle formula for sine, which expresses sin(2x) in terms of sin(x) and cos(x). This will involve using trigonometric identities.
Answer
$\sin(2x) = 2\sin(x)\cos(x)$
Answer for screen readers
The identity is $\sin(2x) = 2 \sin(x) \cos(x)$
Steps to Solve
- Recall the double angle formula for sine
The double angle formula for sine is a standard trigonometric identity:
$$ \sin(2x) = 2 \sin(x) \cos(x) $$
This formula expresses $\sin(2x)$ in terms of $\sin(x)$ and $\cos(x)$.
The identity is $\sin(2x) = 2 \sin(x) \cos(x)$
More Information
The double angle formulas are useful in simplifying and solving trigonometric equations and integrals. There are similar identities for $\cos(2x)$ and $\tan(2x)$ as well.
Tips
A common mistake is to incorrectly recall the coefficients or the terms involved. Ensure you remember the exact formula $\sin(2x) = 2 \sin(x) \cos(x)$.
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