Problem:
Consider a pyramid P−ABCD whose base ABCD is square and whose vertex P is equidistant from A,B,C and D. If AB=1 and ∠APB=2θ then the volume of the pyramid is
Answer Choices:
A. 6sinθ
B. 6cotθ
C. 6sinθ1
D. 61−sin2θ
E. 6sinθcos2θ
Solution:
Let M be the midpoint of AB and O be the center of the square. Thus AM=OM=21 and slant height PM=21cotθ. Hence
