हिंदी

The domain of the function cos–1(2x – 1) is ______. - Mathematics

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प्रश्न

The domain of the function cos–1(2x – 1) is ______.

विकल्प

  • [0, 1]

  • [–1, 1]

  • ( –1, 1)

  • [0, π]

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उत्तर

The domain of the function cos–1(2x – 1) is [0, 1].

Explanation:

The given function is cos–1(2x – 1)

Let f(x) = cos–1(2x – 1)

– 1 ≤ 2x – 1 ≤ 1 ⇒ – 1 + 1 ≤ 2x ≤ 1 + 1

0 ≤ 2x ≤ 2 ⇒ 0 ≤ x ≤ 1

∴ Domain of the given function is [0, 1].

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अध्याय 2: Inverse Trigonometric Functions - Exercise [पृष्ठ ३८]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 12
अध्याय 2 Inverse Trigonometric Functions
Exercise | Q 24 | पृष्ठ ३८
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