P3 Trig Flashcards

1
Q

Inverse functions

A

a function that “reverses” another function

e.g. cos-1(x)

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2
Q

Reciprocal functions

A

1 / function

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3
Q

Relationship between inverse and reciprocal functions

A

none

they are completely different

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4
Q

arccos(x) =

A

cos-1(x)

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5
Q

arcsin(x) =

A

sin-1(x)

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6
Q

arctan(x) =

A

tan-1(x)

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7
Q

sec(x) =

A

1 / cos(x)

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8
Q

cosec(x) =

A

1 / sin(x)

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9
Q

cot(x) =

A

1 / tan(x) or cos(x) / sin(x)

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10
Q

cos^2(x) + sin^2(x) =

A

1

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11
Q

1 + tan^2(x) =

A

sec^2(x)

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12
Q

1 + cot^2(x) =

A

cosec^2(x)

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13
Q

sin2A =

A

2sinAcosA

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14
Q

cos2A =

A

cos^2 - sin^A

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15
Q

tan2A =

A

2tanA / 1 - tan^2A

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16
Q

cos(A + B) =

A

cosAcosB - sinAsinB

17
Q

sin(A - B) =

A

sinAcosB + cosAsinB

18
Q

cos(A - B) =

A

cosAcosB + sinAsinB

19
Q

sin(A + B) =

A

sinAcosB - cosAsinB

20
Q

tan(A + B) =

A

tanA + tanB / 1 - tanAtanB

21
Q

tan(A - B) =

A

tanA - tanB / 1 + tanAtanB

22
Q

sin(2A) =

A

2sinAcosA

23
Q

cos(2A) =

A

cos^2 + sin^2
1 - 2sin^2A
2cos^2A -1

24
Q

tan(2A) =

A

2tanA / 1 - tan^2A