Trigonometric Identities Flashcards

1
Q

sin^2(x) + cos^2(x) =

A

1

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2
Q

1 + tan^2(x) =

A

sec^2(x)

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3
Q

1 + cot^2(x) =

A

csc^2(x)

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4
Q

sin(-x) =

A

-sin(x)

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5
Q

csc(-x) =

A

-tan(x)

[or -csc(x)tan(-x)]

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6
Q

cot(-x) =

A

cos(x)

[or -cot(x)cos(-x)]

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7
Q

sec(-x) =

A

sec(x)

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8
Q

sin(2u) =

A

2sin(u)cos(u)

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9
Q

cos(2u) =

A

cos^2(u) - sin^2(u)

[or 2cos^2(u) - 1; 1 - 2sin^2(u)]

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10
Q

tan(2u) =

A

(2tan(u)) / (1 - tan^2(u))

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11
Q

sin(u) =

A

opp/hyp

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12
Q

cos(u) =

A

adj/hyp

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13
Q

tan(u) =

A

opp/adj

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14
Q

csc(u) =

A

hyp/opp

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14
Q

sec(u) =

A

hyp/adj

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15
Q

cot(u) =

16
Q

sin(x) =

A

1 / csc(x)

17
Q

cos(x) =

A

1 / sec(x)

18
Q

tan(x) =

A

sin(x) / cos(x)

19
Q

sec(x) =

A

1 / cos(x)

20
Q

csc(x) =

A

1 / sin(x)

21
Q

cot(x) =

A

cos(x) / sin(x)