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domain and range of 1/(1-sinx)
math passerby On 10/15/12, zainab wrote: > domain and range of 1/(1-sinx)

The only operation/function appearing that imposes a restriction is division, which requires that the denominator 1 - sin(x) be nonzero. Thus, the domain consists of all real numbers x except those making sin(x) = 1, which equals . . .

For the range, note that

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Oct 15, 2012
math passerby On 10/15/12, math passerby wrote: > 1 >= -sin(x) >= -1 > > Now add 1 throughout to get > > 2 >= -sin(x) >= 0

Ooops, this last inequality should be

2 >= 1 - sin(x) >= 0
Oct 15, 2012


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