Trigonometry Flashcards

1
Q

Arc length formula

A

arc length= radius x angle in radians

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2
Q

Area of a sector formula

A

Area= 1/2 x r^2 x angle

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3
Q

Small angle approximations for sin

A

sin(x)= x

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4
Q

Small angle approximations for cos

A

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

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5
Q

Small angle approximations for tan

A

tan(x) = x

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6
Q

1 radian

A

180 degrees / pi

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7
Q

Pi radians

A

180 degrees

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8
Q

sec(x) formula

A

sec(x)= 1/cos(x)

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9
Q

cosec(x) formula

A

cosec(x)= 1/sin(x)

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10
Q

cot(x) formula

A

1/tan(x)

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11
Q

equation linking sin^2(x) and cos^2(x)

A

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

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12
Q

equation linking cot^2(x) and cosec^2(x)

A

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

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13
Q

Equation linking tan^2(x) and sec^2(x)

A

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

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14
Q

Equation for tan(x)

A

tan(x) = sin(x) / cos(x)

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15
Q

Cosine rule

A

a^2 = b^2 + c^2 - 2bcCosA

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16
Q

Sine rule

A

a/sinA = b/sinB

17
Q

Area of a triangle

A

1/2 ab sinC