if ABCD is a quadrilateral then cos (A+B/2)+cos(C+D/2)
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Step-by-step explanation:
A+B = 360 - (C+D) {as ABCD is a rectangle}
cos(a+b/2) + cos(c+d/2)
= cos(360-c-d/2) + cos (c+d/2)
= cos(180 - c+d/2) + cos(c+d/2)
= -cos(c+d/2) + cos(c+d/2) {cos(180-x) = - cos(x)
= 0
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