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in Trigonometry by (53.3k points)

If A, B, C and D are angles of a quadrilateral and sin A/2 sin B/2 . sin C/2 . sin D/2 = 1/4, prove that A = B = C = D = π/2.

1 Answer

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by (53.1k points)
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Best answer

Given that

4 sin A/2 sin B/2 sin C/2 sinD/2 = 1

This is quadratic equation in cosine which has real roots. So

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