Trig ID Flashcards

1
Q

Double Angle: sin(2x) =

A

2sin(x)cos(x)

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2
Q

Double Angle: cos(2x) =

A

cos^2(x)-sin^2(x)

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3
Q

Double Angle: tan(2x) =

A

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

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4
Q

sec^2(x) =

A

1 + tan^2(x)

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5
Q

csc^2(x)

A

1 + cot^2(x)

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6
Q

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

A

1

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7
Q

sin(u + v) =

A

sin(u)cos(v) + cos(u)sin(v)

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8
Q

cos(u + v) =

A

cos(u)cos(v) - sin(u)sin(v)

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9
Q

tan(u + v) =

A

(tan(u) + tan(v))/(1 - tan(u)tan(v))

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10
Q

sin(x/2) =

A

±sqrt((1-cos(x))/2)

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11
Q

cos(x/2) =

A

±sqrt((1 + cos(x))/2)

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12
Q

tan(x/2) =

A

(1 - cos(x))/sin(x)

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13
Q

Power Reduction: sin^2(x) =

A

(1 - cos(2x))/2

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14
Q

Power Reduction: cos^2(x) =

A

(1 + cos(2x))/2

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15
Q

Power Reduction: tan^2(x) =

A

(1 - cos(2x))/(1 + cos(2x))

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