Trig Identities Flashcards

1
Q

Reciprocal Identity:

sinx

A

1/cscx

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2
Q

Reciprocal Identity:

cosx

A

1/secx

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3
Q

Reciprocal Identity:

tanx

A

1/cotx

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4
Q

Reciprocal Identity:

cotx

A

1/tanx

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5
Q

Reciprocal Identity:

cscx

A

1/sinx

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6
Q

Reciprocal Identity:

secx

A

1/cosx

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7
Q

Pythagorean Identity:

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

A

1

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8
Q

Pythagorean Identity:

1 + tan^2(x)

A

sec^2(x)

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9
Q

Pythagorean Identity:

1 + cot^2(x)

A

csc^2(x)

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10
Q

Double Angle Formulas:

sin(2x)

A

2sinxcosx

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11
Q

Double Angle Formulas:

cos(2x)

A

= cos^2(x) - sin^2(x)
= 2cos^2(x) - 1
= 1-2sin^2(x)

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12
Q

Double Angle Formulas:

tan(2x)

A

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

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13
Q

Power Reducing/ Half Angle:

sin^2(x)

A

(1 - cos(2x)) / 2

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14
Q

Power Reducing/ Half Angle:

cos^2(x)

A

(1 + cos(2x)) / 2

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15
Q

Power Reducing/ Half Angle:

tan^2(x)

A

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

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