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The value of cos-1(cos 3π2) is equal to ______. - Mathematics

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Question

The value of `cos^-1 (cos  (3pi)/2)` is equal to ______.

Options

  • `pi/2`

  • `(3pi)/2`

  • `(5pi)/2`

  • `(7pi)/2`

MCQ
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Solution

The value of `cos^-1 (cos  (3pi)/2)` is equal to `pi/2`.

Explanation:

`cos^-1 (cos  (3pi)/2) ≠ (3pi)/2` as `(3pi)/2 ∉ [0, pi]`

 ∴ `cos^-1 (cos  (3pi)/2) = cos^-1 0 = pi/2`

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Chapter 2: Inverse Trigonometric Functions - Exercise [Page 38]

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NCERT Exemplar Mathematics [English] Class 12
Chapter 2 Inverse Trigonometric Functions
Exercise | Q 28 | Page 38
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