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What is the values of cos-1(cos 7π6) -

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Question

What is the values of `cos^-1 (cos  (7pi)/6)`

Options

  • `(7pi)/6`

  • `(5pi)/6`

  • `pi/3`

  • `pi/6`

MCQ

Solution

`(5pi)/6`

Explanation:

`cos^-1 (cos  (7pi)/6) = cos^-1 (cos - (7pi)/6)`

= `cos^-1 [cos(2pi - (7pi)/6)]`

= `cos^-1 [cos  (5pi)/6]`

= `(5pi)/6`

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