if α, ß, Γ and δ be the eccentric angles of the feet of four co-normal points of a hyperbola x²/a²-y²/b²=1 from any point in its plane then α+ß+ Γ+ δ can be

Dear student
Given : α,β, τ and δ are the eccentric angles of hyperbolax2a2-y2b2=1Then eccentric angles is given by:xacosα-β2-ybsinα+β2=cosα+β2and similarly,xacosτ-δ2-ybsinτ+δ2=cosτ+δ2Then α+β+τ+ δ =cosα+β2+cosτ+δ2=-2sinα+β2+τ+δ22sinα+β2-τ+δ22  as cosA+cosB=-2sinA+B2sinA-B2=-2sinα+β+τ+δ4sinα+β-τ+δ4
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