हिंदी

The principal value of the expression cos–1[cos (– 680°)] is ______. - Mathematics

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प्रश्न

The principal value of the expression cos–1[cos (– 680°)] is ______.

विकल्प

  • `(2pi)/9`

  • `(-2pi)/9`

  • `(34pi)/9`

  • `pi/9`

MCQ
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उत्तर

The principal value of the expression cos–1[cos (– 680°)] is `(2pi)/9`.

Explanation:

cos–1[cos (– 680°)] = cos–1[cos (720° – 40°)]

= cos–1[cos (– 40°)]

= cos–1[cos (40°)]

= 40°

= `(2pi)/9`.

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अध्याय 2: Inverse Trigonometric Functions - Solved Examples [पृष्ठ २९]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 12
अध्याय 2 Inverse Trigonometric Functions
Solved Examples | Q 25 | पृष्ठ २९
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