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Question
Find the principal value of the following:
cosec−1 (2)
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Solution
Let cosec−1 (2) = y
Then, cosec y = 2 = `"cosec" (pi/6)`
We know that the range of the principal value branch of cosec−1 is `[-pi/2, pi/2] - {0}`.
Therefore, the principal value of cosec−1 (2) is `pi/6`.
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