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The domain of the function defined by f(x) = sin–1x + cosx is ______. - Mathematics

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प्रश्न

The domain of the function defined by f(x) = sin–1x + cosx is ______.

विकल्प

  • [–1, 1]

  • [–1, π + 1]

  • `(– oo, oo)`

  • φ

MCQ
रिक्त स्थान भरें

उत्तर

The domain of the function defined by f(x) = sin–1x + cosx is [–1, 1].

Explanation:

The domain of cos is R and the domain of sin–1 is [–1, 1].

Therefore, the domain of cosx + sin–1x is R ∩ [–1,1] 

i.e., [–1, 1].

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अध्याय 2: Inverse Trigonometric Functions - Solved Examples [पृष्ठ ३२]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 12
अध्याय 2 Inverse Trigonometric Functions
Solved Examples | Q 34 | पृष्ठ ३२

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