Trig Equations Flashcards

1
Q

sin^2 + cos^2

A

1

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2
Q

1 + tan^2

A

sec^2

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3
Q

1 + cot^2

A

csc^2

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4
Q

sin(x + y)

A

sinxcosy + sinycosx

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5
Q

sin(x - y)

A

sinxcosy - sinycosx

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6
Q

cos(x + y)

A

cosxcosy - sinxsiny

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7
Q

cos(x - y)

A

cosxcosy + sinxsiny

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8
Q

tan(x + y)

A

tanx + tany / 1 - tanxtany

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9
Q

tan(x-y)

A

tanx - tany / 1 + tanxtany

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10
Q

sinx + siny

A

2sin(x + y / 2)cos(x - y / 2)

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11
Q

sinx - siny

A

2cos(x + y / 2)sin(x - y / 2)

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12
Q

cosx + cosy

A

2cos(x + y / 2)cos(x - y / 2)

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13
Q

cosx - cosy

A

-2sin(x + y / 2)sin(x - y / 2)

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14
Q

sinxsiny

A

1/2 cos(x - y) - cos(x + y)

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15
Q

cosxcosy

A

1/2 cos(x - y) + cos(x + y)

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16
Q

sinxcosy

A

1/2 sin(x + y) + sin (x - y)

17
Q

cosxsiny

A

1/2 sin(x + y) - sin(x - y)

18
Q

sin2x

A

2sinxcosx

19
Q

cos2x

A

cos^2 - sin^2
2cos^2 - 1
1 - 2sin^2

20
Q

tan2x

A

2tan / 1 - tan^2

21
Q

sin^2

A

1 - cos2 / 2

22
Q

cos^2

A

1 + cos2 / 2

23
Q

tan^2

A

1 - cos2 / 1+cos2

24
Q

sin(x/2)

A

+/- sqrt 1 - cos / 2

25
Q

cos(x/2)

A

+/- sqrt 1 + cos / 2

26
Q

tan(x/2)

A

1 - cos / sin

sin / 1 + cos