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

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Question

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

Options

  • `(2pi)/9`

  • `(-2pi)/9`

  • `(34pi)/9`

  • `pi/9`

MCQ
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Solution

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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Chapter 2: Inverse Trigonometric Functions - Solved Examples [Page 29]

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NCERT Exemplar Mathematics [English] Class 12
Chapter 2 Inverse Trigonometric Functions
Solved Examples | Q 25 | Page 29
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