Identities Flashcards

1
Q

csc(x)

A

1/sin(x)

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2
Q

sec(x)

A

1/cos(x)

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3
Q

cot(x)

A

1/tan(x)

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4
Q

1/tan(x)

A

cos(x)/sin(x)

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5
Q

tan(x)

A

1/cot(x)

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6
Q

1/cot(x)

A

sin(x)/cos(x)

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7
Q

sin^2(t) + cos^2(t)

A

1

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8
Q

tan^2(t) + 1

A

sec^2(t)

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9
Q

1 + cot^2(t)

A

csc^2(t)

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10
Q

sin(–t)

A

–sin(t)

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11
Q

cos(–t)

A

cos(t)

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12
Q

tan(–t)

A

–tan(t)

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13
Q

sin(x)+sin(y)

A

2sin( x+y/2)cos(x−y/2)

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14
Q

sin(x)−sin(y)

A

2cos(x+y/2) sin(x−y/2)

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15
Q

cos(x)+cos(y)

A

2cos(x+y/2)cos(x−y/2)

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16
Q

cos(x)−cos(y)

A

−2sin(x+y/2)sin(x−y/2)

17
Q

sin(2x)

A

2 sin(x) cos(x)

18
Q

cos(2x)

A

cos^2(x) – sin^2(x)

19
Q

cos^2(x) – sin^2(x)

A

1 – 2 sin^2(x)

20
Q

1 – 2 sin^2(x)

A

2 cos^2(x) – 1