If \({\rm{co}}{{\rm{s}}^{ - 1}}x - {\rm{co}}{{\rm{s}}^{ - 1}}\frac{y}{2} = \alpha ,{\rm{\;}}\)where -1 ≤ x ≤ 1, -2 ≤ y ≤ 2, \(x \le \frac{y}{2},{\rm{\;}}\)then for all x, y, 4x2 - 4xy cos α + y2 is equal to:

If \({\rm{co}}{{\rm{s}}^{ - 1}}x - {\rm{co}}{{\rm{s}}^{ - 1}}\frac{y}{

1.	If \({\rm{co}}{{\rm{s}}^{ - 1}}x - {\rm{co}}{{\rm{s}}^{ - 1}}\frac{y}{2} = \alpha ,{\rm{\;}}\)where -1 ≤ x ≤ 1, -2 ≤ y ≤ 2, \(x \le \frac{y}{2},{\rm{\;}}\)then for all x, y, 4x2 - 4xy cos α + y2 is equal to:
A.	4 sin2 α
B.	2 sin2 α
C.	4 sin2 α - 2x2y2
D.	4 cos2 α + 2x2y2
Answer» B. 2 sin2 α

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If \({\rm{co}}{{\rm{s}}^{ - 1}}x - {\rm{co}}{{\rm{s}}^{ - 1}}\frac{y}{2} = \alpha ,{\rm{\;}}\)where -1 ≤ x ≤ 1, -2 ≤ y ≤ 2, \(x \le \frac{y}{2},{\rm{\;}}\)then for all x, y, 4x2 - 4xy cos α + y2 is equal to:

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