Question: In a triangle ABC with fixed base BC, the vertex A moves such that cosB + cosC = 4sin4 . If a, b and

In a triangle ABC with fixed base BC, the vertex A moves

In a triangle ABC with fixed base BC, the vertex A moves such that cosB + cosC = 4sin4 . If a, b and denote the lengths of the sides of the triangle opposite to the angles A, B and C, respectively, then (A) b + c = 4a (B) b + c = 2a (C) locus of point A is an ellipse (D) locus of point A is a pair of straight lines

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