The larger of \(\cos (\ln \theta)\) and \(\ln (\cos \theta)\) is \(\text{___}\) . Which of the following can fill the blank correctly?

- (A) \(\cos(\ln\theta)\) in the interval \((0,\ e^{-\pi/2})\)
- (B) \(\cos(\ln\theta)\) in the interval \((e^{-\pi/2},\ 1)\)
- (C) \(\ln(\cos\theta)\) in the interval \((1,\ \pi/2)\)
- (D) \(\ln(\cos\theta)\) in the interval \((\pi/2,\ e^{\pi/2})\)

Enter your answer as a 4 digit string of 1s and 9s - 1 for correct option, 9 for wrong. Eg. 1199 indicates A and B are correct, C and D are incorrect. None, one or all may also be correct.

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