A) 0
B) 1
C) 2
D) 4
Correct Answer: D
Solution :
\[-2\pi <\alpha -\beta <2\pi \] \[\cos (\alpha -\beta )=1\]Þ \[\alpha -\beta =0\]Þ \[\alpha =\beta \] \[\cos 2\alpha =\frac{1}{e}\]and \[-2\pi <2\alpha <2\pi \] Hence, there will be four solutions.
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