Trigonometric identities Flashcards

1
Q

sin

A

opposite/hypotenuse

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2
Q

cos

A

adjacent/ hypothenuse

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3
Q

tan

A

sin/cos = opposite/ adjacent

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4
Q

sec

A

1/cos

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5
Q

csc

A

1/sin

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6
Q

cot

A

1/tan = cos/sin

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7
Q

cos^2 x

A

1 - sin^2 x or (1+cos2x)/2

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8
Q

sec^2 x

A

1 + tan^2 x

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9
Q

sinA*cosB

A

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

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10
Q

sinA*sinB

A

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

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11
Q

cosA*cosB

A

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

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12
Q

Sin^2 x

A

(1-cos2x)/2

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13
Q

Cos2x

A

Cos^2x - sin^2x or 2cos^2x-1 or 1-2sin^2x

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14
Q

Csc^2x

A

1+cot^2x

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15
Q

Sin(-x)

A

-sin(x)

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16
Q

Cos(-x)

A

Cos(x)

17
Q

Tan(-x)

A

-tan(x)

18
Q

Sin(Pi/2-x)

A

Cos(x)

19
Q

Cos(Pi/2-x)

A

Sin(x)

20
Q

Tan(Pi/2-x)

A

Cot(x)