Flashcards in Pure Maths Formulas Deck (18)

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1

Q

180 degrees in radians

A

π

2

Q

an for an arithmetic series

A

a+(n-1)d

3

Q

sn for an arithmetic series

A

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

4

Q

an for a geometric series

A

ar^n-1

5

Q

arc length in radians

A

r x theta

6

Q

area of a segment in radians

A

0.5 x r^2 x theta

7

Q

area of a sector in radians

A

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

8

Q

pythagorean theorem

A

a^2 + b^2 = c^2

9

Q

area of a right angled triangle

A

0.5(a x b)

10

Q

area of any triangle

A

0.5 x a x b x sinC

11

Q

cosine rule

A

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

12

Q

sine rule

A

sinA/a = sinB/b

13

Q

sin^2theta + cos^2theta

A

1

14

Q

1 + tan^2(theta)

A

sec^2(theta)

15

Q

sin(theta)/cos(theta)

A

tan(theta)

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)