SOLUTION: Let f(x)= sqrt (1-cosx) , what is the domain of f(x)? More than just the answer, I need a good explanation to the answer. Please help.

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Question 545813: Let f(x)= sqrt (1-cosx) , what is the domain of f(x)?
More than just the answer, I need a good explanation to the answer. Please help.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Let f(x)= sqrt (1-cosx) , what is the domain of f(x)?
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Since you want the square root, 1-cos(x) must not be negative.
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Solve 1-cos(x) >= 0
cos(x) <= 1
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But -1 <= cos(x) <= 1 for all "x".
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So Domain is All Real Numbers.
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Cheers,
Stan H.
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