Domain/Range of Inverse Trig Functions

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Last updated 2:04 AM on 8/26/25
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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)

[-ฯ€/2, ฯ€/2]

3
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Domain of cos-1(x)

[-1,1]

4
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Range of cos-1(x)

[0,ฯ€]

5
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Domain of tan-1(x)

(-infinity, infinity)

6
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Range of tan-1(x)

(-ฯ€/2, ฯ€/2)

7
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Domain of cot-1(x)

(-infinity, infinity)

8
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Range of cot-1(x)

(0, ฯ€)

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, ฯ€/2) U (ฯ€/2, ฯ€]

11
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Domain of csc-1(x)

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

12
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Range of csc-(x)

[-ฯ€/2, 0) U (0, ฯ€/2]