Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Prove from LHS (left-hand side)
- Prove from RHS (right-hand side)
- Express everything into Sine and Cosine
- Exact Differential Equation
- Linear Differential Equation
- Separable Differential Equation
- Homogeneous Differential Equation
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
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Starting from the left-hand side (LHS) of the identity
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$\frac{\sin\left(2x\right)}{\sin\left(x\right)}$
Learn how to solve problems step by step online. Prove the trigonometric identity sin(2x)/sin(x)=2cos(x). 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). Simplify the fraction \frac{2\sin\left(x\right)\cos\left(x\right)}{\sin\left(x\right)} by \sin\left(x\right). Since we have reached the expression of our goal, we have proven the identity.