Yr11 Inverse Trigonometry Flashcards

1
Q

arcsin (x)
graph
x and y axis
domain and range

A
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2
Q

arccos (x)
graph
x and y axis
domain and range

A
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3
Q

arctan (x)
graph
x and y axis
domain and range

A
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4
Q

odd or even

A

arcsinx is odd
arccos is neither
arctan is odd

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5
Q

graph all 3 and state domain and range

A
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6
Q

f[f⁻¹(x)] & f⁻¹[(x)]

A
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7
Q

how to prove
arcsinx + arccos x = ½π
(can use differentiation, use triangle)

A
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8
Q

proof arcsinx is odd

A
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9
Q

prove arctanx is odd

A
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10
Q

prove
π - arccos (x) = arccos(-x)

A
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11
Q

graphing inverse trig functions theory

A

divide domain by B
multiply range by A

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12
Q

graph
y=2arcsin(3x)

A
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13
Q

graph
y = 4arccos(½x)

A
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