Maths Formulas

Question 1

What is the quadratic formula?

Answer 1

x=-b±√(b²-4ac)/2a

Question 2

What is the cosine rule?

Answer 2

a² = b²+ c² -2bcCosA

Question 3

Formula for area of trapezium?

Answer 3

½(a+b)h

Question 4

Line Length Equation

Answer 4

√(x₂-x₁)²+(y₂-y₁)²

Question 5

Sine Rule (Lengths)

Answer 5

a/sinA = b/sinB = c/sinC

Question 6

Sine Rule (Angles)

Answer 6

sinA/a = sinB/b = sinC/c

Question 7

Cosine Rule (Angles)

Answer 7

cosA = (b²+c²-a²)/2bc

Question 8

Midpoint for lines - endpoints (x₁, y₁) & (x₂, y₂)

Answer 8

(x₁+x₂)/2, (y₁+y₂)/2

Question 9

Magnitude of a vector

Answer 9

|a| = √x²+y²

Question 10

Arc length

Answer 10

θr

Question 11

Area of Sector

Answer 11

½θr²

Question 12

Arithmetic Sequence

Answer 12

Un= a + (n-1)d

Question 13

Geometric Sequence

Answer 13

Un =ar^(n-1)

Question 14

Name the 3 trig identities.

Answer 14

Sin²θ+cos²θ=1
1 +cot²θ = cosec²θ
Tan²θ+1 = sec²θ

Question 15

Name the 5 different double angle trig identities

Answer 15

sin2θ=2sinθcosθ
cos2θ = cos²θ-sin²θ
cos2θ =2cos²θ-1
cos2θ =1-2sin²θ
tan2θ = 2tanθ/1-tan²θ

Question 16

Differential of A^kx

Answer 16

k(lnA) x A^kx

Question 17

What is the differential equation for a parametric equation?

Answer 17

dy/dx = dy/dt x dt/dx

Question 18

Radians to Degrees Formula

Answer 18

Angle in Radians × 180°/π

Question 19

Degrees to Radians Formula

Answer 19

Multiply the number of degrees by π/180

Question 20

Integral for parametric equation formula

Answer 20

y(dx/dt) x dt