Domain and Range of Trigonometric Functions and their Inverses

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12 Terms

1
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All real numbers

Domain of Sin and Cos

Range of Cot and Tan

Domain of Arccot and Arctan

2
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[-1,1]

Range of Sin and Cos

Domain of Arccsin and Arccos

3
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Period 2pi

Sin, Cos, Sec, Csc

4
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Period pi

Tan and Cot

5
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VA @ pi/2 + pik

Domain of Sec and Tan

6
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VA @ pik

Domain of Csc and Cot

7
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(-infinity,-1],[1, infinity)

Range of Sec and Csc

Domain of Arcsec and Arccsc

8
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[-pi/2,pi/2]

Range of Arcsin

9
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[0, pi]

Range of Arccos

10
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(-pi/2, -pi/2)

Range of Arctan

11
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(0, pi)

Range of Arccot

12
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[0, pi/2),(pi/2, pi]

Range of Arcsec and Arccsc