Maths formulas

y-y1=m(x-x1)

equation of a line with one coordinate and gradient

y=mx+c

equation of a line format

ax+by+c=0

equation if a line where A and B are integers

(x1+x2/2),(y1+y2/2)

Midpoint of a line

√(x1-x2)^2+(y1-y2)^2

length of a line AB

negative reciprocal gradient

perpendicular lines

(x-a)^2 + (y-b)^2 = r^2

equation of a circle with centre (a,b)

(f(x+h)-f(x)/h)

differentiation from first principles

0.5r^2θ

area of a sector

a/sinA = b/sinB = c/sinC

sine rule

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

cosine rule for side

cosA= b^2 + c^2 - a^2 /2bc

cosine rule for angles

dy/dx = 0

stationary point

f’’(x) > 0

minimum point

f’’(x) < 0

maximum point