trig identities Flashcards

1
Q

sin²+cos²

A

1

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2
Q

1+tan²x

A

sec²x

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3
Q

1+cot²x

A

csc²x

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4
Q

sin(-x)

A

-sin(x)

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5
Q

cos(-x)

A

cos(x)

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6
Q

tan(-x)

A

-tan(x)

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7
Q

sin(A+B)

A

sinAcosB+cosAsinB

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8
Q

sin(A-B)

A

sinAcosB-cosAsinB

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9
Q

cos(A+B)

A

cosAcosB-sinAsinB

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10
Q

cos(A-B)

A

cosAcosB+sinAsinB

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11
Q

tan(A+B)

A

tanA+tanB/1-tanAtanB

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12
Q

tan(A-B)

A

tanA-tanB/1+tanAtanB

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13
Q

sin(2x)

A

2sinxcosx

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14
Q

sin(2x)

A

2sinxcosx

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15
Q

cos(2x)

A

cos²x-sin²x

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16
Q

sin²x

A

1/2-1/2cos2x

17
Q

cos²x

A

1/2+1/2cos2x

18
Q

sin(π/2-x)

A

cosx

19
Q

cos(π/2-x)

A

sinx

20
Q

sinAsinB

A

1/2cos(A-B)-1/2cos(A+B)

21
Q

cosAcosB

A

1/2cos(A-B)+1/2cos(A+B)

22
Q

sinAcosB

A

1/2sin(A-B)+1/2sin(A+B)

23
Q

cosh²x-sinh²x

A

1

24
Q

tanh²x+sech²x

A

1

25
Q

1-tanh²x

A

sech²x

26
Q

1-coth²x

A

-csch²x