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What is the value of cos-1(cos 13π6) -

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Question

what is the value of `cos^-1 (cos  (13pi)/6)`

Options

  • `pi/2`

  • `pi/4`

  • `pi/6`

  • `pi/8`

MCQ

Solution

`pi/6`

Explanation:

`cos^-1 (cos  (13pi)/6)`

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

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

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