If - - - are inAP- show that cot- - sin- - sin-cos- - cos-

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Trigonometric Ratios of Compound Angles

If α ,β ,γ ...

Question

If $α, β, γ$ are inAP. show that $c o t β = \frac{sin α - sin γ}{cos γ - cos α}$

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α, β, γ

cot β = \frac{sin α - sin γ}{cos γ - c o s α} .

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cot β = \frac{sin α - sin γ}{cos γ - cos α}

c o s α + c o s β + c o s γ = s i n α + s i n β + s i n γ = 0

c o s (β + γ) + c o s (γ + α) + c o s (α + β) = 0

s i n (β + γ) s i n (γ + α) + s i n (α + β) = 0

If $cos (α - β) + cos (β - γ) + cos (γ - α) = - \frac{3}{2}$ , Prove
that $cos α + cos β + cos γ = sin α + sin β + sin γ = 0$

cos (α - β) + cos (β - γ) + cos (γ - α) = - \frac{3}{2}

cos α + cos β + cos γ = sin α + sin β + sin γ = 0

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