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Question Number 33460 by Rio Mike last updated on 17/Apr/18

why do we use greek letters like α,β,θ,π,Ω,ρ in mathematics

$$\:\:{why}\:{do}\:{we}\:{use}\:{greek}\:{letters}\:{like}\: \\ $$$$\alpha,\beta,\theta,\pi,\Omega,\rho\:\:\:{in}\:{mathematics} \\ $$

Answered by MJS last updated on 17/Apr/18

we want to be able to quickly distinguish and therefore we use many different sets of letters example: triangle vertices are A, B, C sides are a, b, c angles are α, β, γ it′s easy to read, write and understand things like: c=∣AB∣ S=((A+B+C)/3) ((sin α)/a)=((sin β)/b) c^2 =a^2 +b^2 −2abcos γ

$$\mathrm{we}\:\mathrm{want}\:\mathrm{to}\:\mathrm{be}\:\mathrm{able}\:\mathrm{to}\:\mathrm{quickly} \\ $$$$\mathrm{distinguish}\:\mathrm{and}\:\mathrm{therefore}\:\mathrm{we} \\ $$$$\mathrm{use}\:\mathrm{many}\:\mathrm{different}\:\mathrm{sets}\:\mathrm{of}\:\mathrm{letters} \\ $$$$ \\ $$$$\mathrm{example}:\:\mathrm{triangle} \\ $$$$ \\ $$$$\mathrm{vertices}\:\mathrm{are}\:{A},\:{B},\:{C} \\ $$$$\mathrm{sides}\:\mathrm{are}\:{a},\:{b},\:{c} \\ $$$$\mathrm{angles}\:\mathrm{are}\:\alpha,\:\beta,\:\gamma \\ $$$$ \\ $$$$\mathrm{it}'\mathrm{s}\:\mathrm{easy}\:\mathrm{to}\:\mathrm{read},\:\mathrm{write}\:\mathrm{and} \\ $$$$\mathrm{understand}\:\mathrm{things}\:\mathrm{like}: \\ $$$$ \\ $$$${c}=\mid{AB}\mid \\ $$$${S}=\frac{{A}+{B}+{C}}{\mathrm{3}} \\ $$$$\frac{\mathrm{sin}\:\alpha}{{a}}=\frac{\mathrm{sin}\:\beta}{{b}} \\ $$$${c}^{\mathrm{2}} ={a}^{\mathrm{2}} +{b}^{\mathrm{2}} −\mathrm{2}{ab}\mathrm{cos}\:\gamma \\ $$

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