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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 = pi/2
Thursday, February 1, 2018
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Soln: Use formula: cos2A = 2cos^2(A) - 1 cos2A+1= 2cos^2(A) (1+cos2A)/2 = cos^2(A) i.e. cos^2(A) = (1+cos2A)/2
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