inverse trig

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11 Terms

1
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what is the domain of sin(t)

[-pie/2, pie/2]

2
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what is the domain of cos (t)

[0,pie]

3
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what is the range of cos (t) and sin (t)

[-1,1]

4
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what is the domain and range of tan(t)

(-pie/2 , pie/2)

(-infinity, infinity)

5
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sin-1 (sin(t)) = t when

t in (-pie/2 , pie/2)

6
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sin (sin-1(x)) = x when

x in [-1,1]

7
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cos -1 (cos(t)) = t when t

[0,pie]

8
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cos (cos-1(a)) for a is in

[-1,1]

9
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tan -1 (tan(b)) b in

[-pie/2 , pie/2]

10
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tan (tan-1(x)) = x when x is

(-infinity, infinity)

11
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sin(cos-2(x) =

sin(x) = +- squareroot 1-cos²(x)