CBSE Class 10 Answered
In a triangle sum of all angles is 180 degrees.
A + B + C = 180o
B + C = 180 - A
B + C/2 = 90 - A/2
sin2 (B + C/2) = sin2 (90 - A/2)
sin2 (B + C/2) = cos2 A/2
Hence, LHS = sin2 A/2 + sin2 (B + C/2) = sin2 A/2 + cos2 A/2 = 1
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