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Which of the following is the principal value branch of cosec–1x? - Mathematics

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प्रश्न

Which of the following is the principal value branch of cosec–1x?

विकल्प

  • `((-pi)/2, pi/2)`

  • `[0, pi] - {pi/2}`

  • `[(-pi)/2, pi/2]`

  • `[(-pi)/2, pi/2] - {0}`

MCQ
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उत्तर

`[(-pi)/2, pi/2] - {0}`

Explanation:

Principal value branch of cosec–1x is

`[(-pi)/2, pi/2] - {0}` as cosec–1(0) = `oo` (not defined).

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अध्याय 2: Inverse Trigonometric Functions - Exercise [पृष्ठ ३७]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 12
अध्याय 2 Inverse Trigonometric Functions
Exercise | Q 21 | पृष्ठ ३७

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