Final answer to the problem
true
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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1
Starting from the right-hand side (RHS) of the identity
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$\frac{2\sin\left(\frac{h}{2}\right)\cos\left(x+\frac{h}{2}\right)}{h}$
Learn how to solve problems step by step online. Prove (sin(x+h)-sin(x))/h=(2sin(h/2)cos(x+h/2))/h. Starting from the right-hand side (RHS) of the identity. Combine all terms into a single fraction with 2 as common denominator. Apply the trigonometric identity: \sin\left(x\right)\cos\left(y\right)=\frac{\sin\left(x+y\right)+\sin\left(x-y\right)}{2}. Simplify the fraction \frac{2\left(\sin\left(\frac{h}{2}+\frac{2x+h}{2}\right)+\sin\left(\frac{h}{2}+\frac{-2x-h}{2}\right)\right)}{2} by 2.
Final answer to the problem
true
