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The value of cot[cos-1(725)] is ______. - Mathematics

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प्रश्न

The value of `cot[cos^-1 (7/25)]` is ______.

विकल्प

  • `25/24`

  • `25/7`

  • `24/25`

  • `7/24`

MCQ
रिक्त स्थान भरें

उत्तर

The value of `cot[cos^-1 (7/25)]` is `7/24`.

Explanation:

We have, `cot[cos^-1 (7/25)]`

Let `cos^-1  7/25` = θ

∴ cos θ = `7/25`

⇒ cot θ = `7/24`

∴  `cot[cos^-1 (7/25)] = cot[cot^-1  (7/24)] = 7/24`

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अध्याय 2: Inverse Trigonometric Functions - Exercise [पृष्ठ ३९]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 12
अध्याय 2 Inverse Trigonometric Functions
Exercise | Q 32 | पृष्ठ ३९

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