Using properties of determinants- prove that-sin- cos- cos - -sin- cos- cos - -0sin- cos- cos -

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Using propert...

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Using properties of determinants, prove that:

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If $c o s (α + β) s i n (γ + δ) = c o s (α - β) s i n (γ - δ), p r o v e t h a t c o t α c o t β c o t γ = c o t δ$

cos (α + β) sin (γ + δ) = cos (α - β) sin (γ - δ)

Δ = ∣ ∣ ∣ ∣ \begin{matrix} 0 & s i n α & - c o s α - s i n α & 0 & s i n β c o s α & - s i n β & 0 \end{matrix} ∣ ∣ ∣ ∣

α, β . γ, δ

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

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