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
Apply the trigonometric identity: $\cos\left(a\right)-\cos\left(b\right)$$=-2\sin\left(\frac{a-b}{2}\right)\sin\left(\frac{a+b}{2}\right)$, where $a=x-y$ and $b=x+y$
Learn how to solve trigonometric identities problems step by step online.
$\cos\left(x-y\right)-\cos\left(x+y\right)$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity cos(x-y)-cos(x+y)=2sin(x)sin(y). Starting from the left-hand side (LHS) of the identity. Apply the trigonometric identity: \cos\left(a\right)-\cos\left(b\right)=-2\sin\left(\frac{a-b}{2}\right)\sin\left(\frac{a+b}{2}\right), where a=x-y and b=x+y. Simplify the product -(x+y). Cancel like terms x and -x.