Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Prove from RHS (right-hand side)
- Prove from LHS (left-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 right-hand side (RHS) of the identity
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$\frac{1}{2}\sin\left(x+y\right)-\frac{1}{2}\sin\left(x-y\right)$
Learn how to solve problems step by step online. Prove the trigonometric identity cos(x)sin(y)=1/2sin(x+y)-1/2sin(x-y). Starting from the right-hand side (RHS) of the identity. Using the sine of a sum formula: \sin(\alpha\pm\beta)=\sin(\alpha)\cos(\beta)\pm\cos(\alpha)\sin(\beta), where angle \alpha equals x, and angle \beta equals -y. Using the sine of a sum formula: \sin(\alpha\pm\beta)=\sin(\alpha)\cos(\beta)\pm\cos(\alpha)\sin(\beta), where angle \alpha equals x, and angle \beta equals y. Multiply the single term \frac{1}{2} by each term of the polynomial \left(\sin\left(x\right)\cos\left(y\right)+\cos\left(x\right)\sin\left(y\right)\right).
