Trig Rules and Derivatives

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Pythagorean identity (cs)

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Calculus

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1

Pythagorean identity (cs)

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

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2

Double angle identities (sin)

2sin(x)(cos(x)) = sin(2x)

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3

Double angle identities (cos)

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

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4

secant reciprocal

sec(x) = 1/cos(x)

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5

cosecant reciprocal

csc(x) = 1/sin(x)

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6

cotangent reciprocal

cot(x) = 1/tan(x)

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7

Pythagorean identities (st)

1 + tan^2(x) = sec^2(x)

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8

Pythagorean identities (cc)

1 + cot^2(x) = csc^2(x)

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9

Double angle identities (tan)

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

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10

sine derivative

dy/dx = cos(x)

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11

cosine derivative

dy/dx = -sin(x)

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12

tangent derivative

dy/dx = sec^2(x)

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13

secant derivative

dy/dx = sec(x)tan(x)

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14

cosecant derivative

dy/dx = -csc(x)cot(x)

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15

cotangant derivative

dy/dx = -csc^2(x)

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