Domain/Range of Inverse Trig Functions

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12 Terms

1
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Domain of sin-1(x)

[-1,1]

2
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Range of sin-1(x)

[-π/2, π/2]

3
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Domain of cos-1(x)

[-1,1]

4
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Range of cos-1(x)

[0,π]

5
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Domain of tan-1(x)

(-infinity, infinity)

6
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Range of tan-1(x)

(-π/2, π/2)

7
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Domain of cot-1(x)

(-infinity, infinity)

8
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Range of cot-1(x)

(0, π)

9
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Domain of sec-1(x)

(-infinity, -1] U [1, infinity)

10
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Range of sec-1(x)

[0, π/2) U (π/2, π]

11
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Domain of csc-1(x)

(-infinity, -1] U [1, infinity)

12
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Range of csc-(x)

[-π/2, 0) U (0, π/2]