cos A + B/2 = sin C/2
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Step by step explanation
Let, A, B & C are the angles of a triangle.
So, we can write,
A + B + C = 180°
Or, A + B = 180° - C
Dividing both sides by 2. We get,
A + B/2 = 180° - C/2
Operating 'cos' on both sides. We get,
cos ( A + B/2) = cos (90° - C/2) [ Note : In RHS C is only divided by 2 not 90°)
Therefore, cos ( A + B/2) = sin C/2
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