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Which of the following is/are correct? ...

Which of the following is/are correct?
(A) Between any two roots of `e^xcosx=1,` there exists at least one root of `tanx=1.`
(B) Between any two roots of `e^xsinx=1,` there exists at least one root of `tanx=-1.`
(C) Between any two roots of `e^xcosx=1,` there exists at least one root of `e^xsinx=1.`
(D) Between any two roots of `e^xsinx=1,` there exists at least one root of `e^xcosx=1.`

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