Evaluate - -cos-cos- cos-sin- -sin- -sin- cos- 0 sin-cos- sin-sin- cos-

cosαcosβ amp; cosαsinβ amp; sinα sinβ amp; cosβ amp; 0 sinαcosβ amp; sinαsinβ amp; cosα [ R_1'=R_1 (α) R_3] =0 amp; 0 ...

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Determinant

Evaluate : Δ...

Question

Evaluate :
$Δ = ∣ ∣ ∣ ∣ \begin{matrix} cos α cos β & cos α sin β & - sin α - sin β & cos β & 0 sin α cos β & sin α sin β & cos α \end{matrix} ∣ ∣ ∣ ∣$

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Solution

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Similar questions

∣ ∣ ∣ ∣ \begin{matrix} cos α cos β & cos α sin β & - sin α - sin β & cos β & 0 sin α cos β & sin α sin β & cos α \end{matrix} ∣ ∣ ∣ ∣

Δ = ∣ ∣ ∣ ∣ \begin{matrix} cos α cos β & cos α sin β & - sin α - sin β & cos β & 0 sin α cos β & sin α sin β & cos α \end{matrix} ∣ ∣ ∣ ∣

x = sin (α - β) . sin (γ - δ); y = sin (β - γ) . sin (α - δ)

z = sin (γ - α) . sin (β - δ,)

∣ ∣ ∣ ∣ ∣ \begin{matrix} s i n α & c o s α & s i n (α + δ) s i n β & c o s β & s i n (β + δ) s i n γ & c o s γ & s i n (γ + δ) \end{matrix} ∣ ∣ ∣ ∣ ∣

α, β, γ, δ

sin (α + β + γ + δ)

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