Pure Maths Formulas Flashcards
(18 cards)
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)
