Precalc

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Last updated 1:56 AM on 6/4/26
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9 Terms

1
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Arcsin general solutions

x1=arcsin(x)+2πkx\\_1 = \text{arcsin}(x) + 2\pi k, x2=πarcsin(x)+2πkx\\_2 = \pi - \text{arcsin}(x) + 2\pi k where kk is any integer.

2
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Arccos general solutions

x1=arccos(x)+2πkx\\_1 = \text{arccos}(x) + 2\pi k, x2=arccos(x)+2πkx\\_2 = -\text{arccos}(x) + 2\pi k where kk is any integer.

3
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Arctan general solutions

x=arctan(x)+πkx=\text{arctan}(x)+\pi k , where kk is any integer.

4
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Domain of arcsin

[-1, 1]

5
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Domain of arccos

[-1, 1]

6
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Domain of arctan

All real numbers

7
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Range of arcsin

[-π/2, π/2]

8
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Range of arccos

[0, π]

9
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Range of arctan

(-π/2, π/2)