Domains and ranges of inverse trig functions(base = sine, cosine, tangent)

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9 Terms

1
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What is the domain of y = sin⁻¹(x)?

[-1,1]

2
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What is the range of y = sin⁻¹(x)?

[-π/2,π/2]

3
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What is the domain of y = cos⁻¹(x)?

[-1,1]

4
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What is the range of y = cos⁻¹(x)?

[0,π]

5
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What is the domain of y = tan⁻¹(x)?
All real numbers
6
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What is the range of y = tan⁻¹(x)?

(-π/2,π/2)

7
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Which quadrants correspond to the range of y = sin⁻¹(x)?
Quadrants I and IV
8
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Which quadrants correspond to the range of y = cos⁻¹(x)?
Quadrants I and II
9
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Which quadrants correspond to the range of y = tan⁻¹(x)?

Quadrants I and IV(exclusive)