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
Learn how to solve trigonometric identities problems step by step online.
$\frac{2\sin\left(x\right)^3}{1-\cos\left(x\right)}$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity (2sin(x)^3)/(1-cos(x))=2sin(x)+sin(2x). Starting from the left-hand side (LHS) of the identity. Multiply and divide the fraction \frac{2\sin\left(x\right)^3}{1-\cos\left(x\right)} by the conjugate of it's denominator 1-\cos\left(x\right). Apply the trigonometric identity: 1-\cos\left(\theta \right)^2=\sin\left(\theta \right)^2. Simplify the fraction \frac{2\sin\left(x\right)^3\left(1+\cos\left(x\right)\right)}{\sin\left(x\right)^2} by \sin\left(x\right).
