For α, β ε (0, π/2). If 3sin(α+β) = 2sin(α-β) & a real number k be such that tanα = k tanβ then k ?

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Q) For 𝛼,𝛽∈(0,𝜋/2), let 3sin(𝛼+𝛽)=2sin(𝛼−𝛽) and a real number 𝑘 be such that tan𝛼=ktan𝛽. Q) For 𝛼,𝛽∈(0,𝜋/2), let 3sin(𝛼+𝛽)=2sin(𝛼−𝛽) and a real number 𝑘 be such that tan𝛼=ktan𝛽.
𝛂,𝛃∈(𝟎,𝝅/𝟐), 3 sin(α + β ) = 2 sin(α – β ) and tanα = 𝒌 tanβ , then find 𝒌. .... 𝛂,𝛃∈(𝟎,𝝅/𝟐), 3 sin(α + β ) = 2 sin(α – β ) and tanα = 𝒌 tanβ , then find 𝒌. ....
BONUS question for a,b€(0,pi/2)let 3 sin(a+b)=2sin(a-b)and a real number j be such that tana=k tanb BONUS question for a,b€(0,pi/2)let 3 sin(a+b)=2sin(a-b)and a real number j be such that tana=k tanb
FOR alpha,beta belongs to [0,(pie /2),LET 3SIN (ALPHA +BETA AND REAL NO K BE :TAN a=k TAN BETA . FOR alpha,beta belongs to [0,(pie /2),LET 3SIN (ALPHA +BETA AND REAL NO K BE :TAN a=k TAN BETA .
For α,β ∈ (0,π/2), let 3sin(α+β) = 2sin(α-β) and a real number k be such that tan α = k tan β. Then For α,β ∈ (0,π/2), let 3sin(α+β) = 2sin(α-β) and a real number k be such that tan α = k tan β. Then
If α+β=π/2 and β+γ=α then tanα=? If α+β=π/2 and β+γ=α then tanα=?
If I did this in 1734 I If I did this in 1734 I'd be World Famous
Proving that if T: V → W is Linear, and β = {v₁, v₂, ..., vₙ} is a Basis for V, then R(T) = Span(β) Proving that if T: V → W is Linear, and β = {v₁, v₂, ..., vₙ} is a Basis for V, then R(T) = Span(β)