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Can you explain the answer of this question below:
Domain of f(x) = cos–1 x + cot–1 x + cosec–1 x is
- A:[–1, 1]
- B:R
- C:
- D:{–1, 1}
The answer is D.
Verified Answer
Can you explain the answer of this question below:Domain of f(x) = cos...
Domain of cos-1x = [-1 ,1]
Domain of cot-1x = R
Domain of cosec-1x = R - (-1,1)
So taking intersection of domains of all three we have only {-1 ,1}
As cos-1x is confined between [-1,1] and cosec-1x is not defined between (-1,1), So only -1 and 1 are left.
Domain of cot-1x = R
Domain of cosec-1x = R - (-1,1)
So taking intersection of domains of all three we have only {-1 ,1}
As cos-1x is confined between [-1,1] and cosec-1x is not defined between (-1,1), So only -1 and 1 are left.
Most Upvoted Answer
Can you explain the answer of this question below:Domain of f(x) = cos...
Writing domain of all three function separately and then take intersection of all three ,then u will get ur answers
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Can you explain the answer of this question below:Domain of f(x) = cos...
Domain of cos-1x = [-1 ,1]
Domain of cot-1x = R
Domain of cosec-1x = R - (-1,1)
So taking intersection of domains of all three we have only {-1 ,1}
As cos-1x is confined between [-1,1] and cosec-1x is not defined between (-1,1), So only -1 and 1 are left.
Domain of cot-1x = R
Domain of cosec-1x = R - (-1,1)
So taking intersection of domains of all three we have only {-1 ,1}
As cos-1x is confined between [-1,1] and cosec-1x is not defined between (-1,1), So only -1 and 1 are left.
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