If α, β, γ and δ are four angles of a cyclic quadrilateral, then the value of cos + cos + cos + cos is
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Hlw mate
Consider the cyclic quadrilateral ABCD. Property of a cyclic quadrilateral: opposite angles are supplementary.Therefore Angle A +Angle C = 180 Angle B + Angle D = 180 therefore, cos a + cos أں + cos أں + cos d = cos a + cos أں + cos (180-a ) + cos (180-أں) = cos a + cos أں + [- cos a - cos أں] = 0
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Consider the cyclic quadrilateral ABCD. Property of a cyclic quadrilateral: opposite angles are supplementary.Therefore Angle A +Angle C = 180 Angle B + Angle D = 180 therefore, cos a + cos أں + cos أں + cos d = cos a + cos أں + cos (180-a ) + cos (180-أں) = cos a + cos أں + [- cos a - cos أں] = 0
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