1.

If \[A+B=\frac{\pi }{2},\] the maximum value of \[\cos A\cos B\]is [AMU 1999]

A.            \[\frac{1}{2}\]
B.            \[\frac{3}{4}\]
C.            1
D.            \[\frac{4}{3}\]
Answer» B.            \[\frac{3}{4}\]


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