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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`
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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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