domains and ranges of all trig functions

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12 Terms

1
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domain of sin(x)

(-∞,∞)

2
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range of sin(x)

[-1,1]

3
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domain of cos(x)

(-∞,∞)

4
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range of cos(x)

[-1,1]

5
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domain of tan(x)

[-π/2, π/2]

6
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range of tan(x)

(-∞,∞)

7
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domain of csc(x)

All real numbers except for x = nπ, where n is an integer (asymptotes)

8
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range of csc(x)

(-∞, -1] U [1, ∞)

9
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domain of sec(x)

All real numbers except for x = π/2 + nπ, where n is an integer

10
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range of sec(x)

(-∞, -1] U [1, ∞)

11
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domain of cot(x)

[0, π]

12
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range of cot(x)

(-∞,∞)