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Problem If the vertices of Δ A B C \Delta ABC Δ A B C A ( cos α , sin α ) A(\cos\alpha, \sin\alpha) A ( cos α , sin α ) B ( cos β , sin β ) B(\cos\beta, \sin\beta) B ( cos β , sin β ) C ( cos γ , sin γ ) C(\cos\gamma, \sin\gamma) C ( cos γ , sin γ ) ( ( cos α + cos β + cos γ ) , ( sin α + sin β + sin γ ) ) ((\cos\alpha + \cos\beta + \cos\gamma), (\sin\alpha + \sin\beta + \sin\gamma)) (( cos α + cos β + cos γ ) , ( sin α + sin β + sin γ )) ( ( cos α + cos β + cos γ ) , 2 ( sin α + sin β + sin γ ) ) ((\cos\alpha + \cos\beta + \cos\gamma), 2(\sin\alpha + \sin\beta + \sin\gamma)) (( cos α + cos β + cos γ ) , 2 ( sin α + sin β + sin γ )) ( ( 2 cos α + 2 cos β + 2 cos γ ) , ( 2 sin β + 2 sin γ + 2 sin α ) ) ((2\cos\alpha + 2\cos\beta + 2\cos\gamma), (2\sin\beta + 2\sin\gamma + 2\sin\alpha)) (( 2 cos α + 2 cos β + 2 cos γ ) , ( 2 sin β + 2 sin γ + 2 sin α )) Browse the problem library