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What is the principal value branch of cot–1x ?
- a)(–1, 1)
- b)[–1, 1]
- c)(0, π)
- d)[0, π]
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
What is the principal value branch of cot–1x ?a)(–1, 1)b)[...
The cotangent function is periodic so to calculate its inverse function we need to make the function bijective. For that we have to consider an interval in which all values of the function exist and do not repeat. For cotangent function this interval is considered as (0, π).
Thus when we take the inverse of the function the domain becomes range and the range becomes domain. Hence the principal value branch is the range of cot–1 x that is (0, π).
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