If \[A+B+C=\pi \] and \[\cos A=\cos B\,\cos C,\] then \[\tan B\,\,\tan C\] is equal to [AMU 2001]

If \[A+B+C=\pi \] and \[\cos A=\cos B\,\cos C,\] then \[\tan B\,\,\tan

1.	If \[A+B+C=\pi \] and \[\cos A=\cos B\,\cos C,\] then \[\tan B\,\,\tan C\] is equal to [AMU 2001]
A.	\[\frac{1}{2}\]
B.	2
C.	1
D.	\[-\frac{1}{2}\]
Answer» C. 1