Trigonometric Identities Flashcards

1
Q

Circle

A

x^2+y^2=r^2

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2
Q

Sin X

A

y/r

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3
Q

Tan X

A

y/x = sin x/cos x

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4
Q

Cos^2 X + Sin^2 X

A

1

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5
Q

1+Tan^2 X

A

Sec^2 X

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6
Q

1+Cot^2 X

A

Csc^2 X

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7
Q

Csc X

A

1/csc x

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8
Q

Sec X

A

1/cos x

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9
Q

Cot X

A

1/tan x

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10
Q

Sin X

A

1/csc x

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11
Q

Cos X

A

1/sec x

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12
Q

Tan X

A

1/cot x

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13
Q

Sin(-X)

A

-Sin X

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14
Q

Csc(-X)

A

-Csc X

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15
Q

Tan(-X)

A

-Tan X

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16
Q

Cot(-X)

A

-Cot X

17
Q

Cos(-X)

A

Cos X

18
Q

Sec(-X)

A

Sec X

19
Q

Sin(A+B)

A

sinAcosB+ cosAsinB

20
Q

Cos(A+B)

A

cosAcosB- sinAsinB

21
Q

Tan(A+B)

A

tanA+tanB/1-tanAtanB

22
Q

Sin(A-B)

A

sinAcosB-cosAsinB

23
Q

Cos(A-B)

A

cosAcosB+sinAsinB

24
Q

Tan(A-B)

A

tanA-tanB/1+tanAtanB

25
Q

sin2X

A

2sinXcosX

26
Q

cos2X

A

cos^2X-sin^2X or 2cos^2X-1 or 1-2sin^2X

27
Q

tan2X

A

2tanX/1-tan^2X

28
Q

sin^2X

A

1-cos2X/2

29
Q

cos^2X

A

1+cos2X/2