Pure Maths Formulas Flashcards

1
Q

180 degrees in radians

A

π

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2
Q

an for an arithmetic series

A

a+(n-1)d

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3
Q

sn for an arithmetic series

A

0.5n(2a+(n-1)d)

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4
Q

an for a geometric series

A

ar^n-1

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5
Q

arc length in radians

A

r x theta

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6
Q

area of a segment in radians

A

0.5 x r^2 x theta

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7
Q

area of a sector in radians

A

0.5 x r^2 x (theta-sin(theta))

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8
Q

pythagorean theorem

A

a^2 + b^2 = c^2

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9
Q

area of a right angled triangle

A

0.5(a x b)

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10
Q

area of any triangle

A

0.5 x a x b x sinC

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11
Q

cosine rule

A

a^2=b^2 + c^2 -(2 x b x c x cosA)

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12
Q

sine rule

A

sinA/a = sinB/b

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13
Q

sin^2theta + cos^2theta

A

1

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14
Q

1 + tan^2(theta)

A

sec^2(theta)

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15
Q

sin(theta)/cos(theta)

A

tan(theta)

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16
Q

cot(theta)

A

1/tan(theta) or cos(theta)/sin(theta)

17
Q

sec(theta)

A

1/cos(theta)

18
Q

cosec(theta)

A

1/sin(theta)