Pre-calc Inverse functions

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12 Terms

1
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y= sin ✗ (D,R)

D - negative infinite to infinite

R - -1 to 1

2
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y = sin -1 ✗ (D,R)

D - -1 to 1

R - -π/2 to π/2

3
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y = cos ✗ (D,R)

D - negative infinite to infinite

R - -1 to 1

4
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y cos -1 ✗ (D,R)

D - -1 to 1

R - 0 to π

5
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y= tan -1 ✗ (D,R)

D - Real numbers

R - -π/2 to π/2

6
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true or false:

sin (sin-1 3) = 3

false; doesn’t exist because the domain. is [-1,1]

7
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true or false:

sin (sin-1 2/3) = 2/3

true; its asking sin ? = 2/3 (its 2/3)

8
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Find tan [cos -1 (3/4)]

sqrt 7 /3

9
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Find sin -1 [sin(3π/4)]

π/4

10
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what segments of the unit circle does sin-1 cover

right side (Q I and IV)

11
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what segments of the unit circle does cos-1 cover

top side (Q I and II)

12
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what segments of the unit circle does tan-1 cover

right side (Q I and IV)