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20 Cards in this Set
- Front
- Back
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A function cannot have an inverse unless it passes what test?
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the horizontal line test
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Which trigonometric functions are one-to-one
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none of them
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What is the restricted domain for sin^-1?
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[-1, 1]
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What is the range of sin^-1 based on its restricted domain?
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[-π/2, π/2]
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The answer to an inverse trig function is an _____
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angle
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In what quadrant is the angle of sin^-1 when the term of the function is positive
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I
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In what quadrant is the angle of sin^-1 when the term of the function is negative
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IV and Theta is negative
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In what quadrant is the angle of cos^-1 when the term of the function is positive
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I
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In what quadrant is the angle of cos^-1 when the term of the function is negative
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II
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In what quadrant is the angle of tan^-1 when the term of the function is positive
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I
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In what quadrant is the angle of tan^-1 when the term of the function is negative
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4. theta is negative
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In what quadrant is the angle of csc^-1 when the term of the function is positive
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1
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In what quadrant is the angle of csc^-1 when the term of the function is negative
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4. theta is negative
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In what quadrant is the angle of sec^-1 when the term of the function is positive
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1
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In what quadrant is the angle of sec^-1 when the term of the function is negative
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2
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In what quadrant is the angle of cot^-1 when the term of the function is positive
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1
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In what quadrant is the angle of cot^-1 when the term of the function is negative
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2
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What is the domain and range of cos^-1x
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D: [-1,1]
R: [0,π] |
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What is the domain and range of tan^-1x
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D: (-∞,∞)
R: [-π/2, π/2] |
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What are the inverse properties of the trig functions: Trig^-1(Trig)
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arcsin(sin y) = y when y is in the restricted domain of sin: [-π/2, π/2]
arccos(cos y) = y when y is in the restricted domain of cos: [0, π] arctan(tan y) = y when y is in the restricted domain of tan: (-π/2, π/2) |
