AP Precalc Trig Identities

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19 Terms

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Pythagorean Identity

cos2x + sin2x = 1

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cos2x

1 - sin2x

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sin2x

1 - cos2x

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csc2x

1 + cot2x

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cot2x

csc2x - 1

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sec2x

tan2x + 1

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tan2x

sec2x - 1

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tan

sin/cos

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cot

cos/sin or 1/tan

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csc

1/sin

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sec

1/cos

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sin(a + b)

sin(a)cos(b) + sin(b)cos(a)

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sin(a - b)

sin(a)cos(b) - sin(b)cos(a)

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cos(a + b)

cos(a)cos(b) - sin(a)sin(b)

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cos(a - b)

cos(a)cos(b) + sin(a)sin(b)

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sin(2x)

2sin(x)cos(x)

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cos(2x) (equation with both sin and cos)

cos2x - sin2x

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cos(2x) (equation with only sin, no cos)

1 - 2sin2x

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cos(2x) (equation with only cos, no sin)

2cos2x - 1