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4 [20% ] (a) Prove the Sine Rule for a spherical triangle: [10%] sin α sin...

4 [20% ]

(a) Prove the Sine Rule for a spherical triangle: [10%] sin α sin a = sin β sin b = sin γ sin c

(b) Show that the area of a spherical triangle on the unit sphere is [10%] α + β + γ − π .

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