Trig Identities Flashcards

0
Q

Half angle identities:

Cos x/2

A

+/- the square root of 1+ cosx/ 2

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1
Q

Half angle identity :

Sin x/2

A

+/- the square root of 1-cosx/ 2

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2
Q

Half angle identity:

Tan x/2

A

1-cosx/sinx = sinx/1+cosx

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3
Q

Double angle identities:

Sin 2x

A

2sinxcosx

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4
Q

Double angle identities:

Cos 2x

A

Cos^2x - sin^2x

2cos^2x-1

1- 2sin^2x

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5
Q

Double angle identities:

Tan 2x

A

2tanx/ 1-tan^2x

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6
Q

Pythagorean identities

Sin^2x

A

1- cos^2x

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7
Q

Pythagorean identities:

Cos^2x

A

1- sin^2x

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8
Q

Pythagorean identities

Sec^2x

A

1 + tan^2x

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9
Q

Pythagorean identities:

Csc^2x=

A

1 + cot^2x

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10
Q

Sum or difference identities:

Cos(u + v)

A

Cosucosv - sinusinv

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11
Q

Sum or difference:

Cos (u - v)

A

Cosucosv + sinusinv

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12
Q

Sum or difference:

Sin (u + v)

A

Sinucosv + cosusinv

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13
Q

Sum or difference

Sin (u - v)

A

Sinucosv - cosusinv

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14
Q

Sum or difference

Tan (u + v)

A

Tanu + tanv / 1- tanutanv

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15
Q

Sum or difference

Tan (u - v)

A

Tanu - tanv/ 1 + tanutanv