THE FORMULAS Flashcards
Cosine rule
a2=b2+c2-2bccosA
Area of a triangle
1/2absinC
The mid- point
(x1+x2 y1+y2)
——- , ——–
2 2
Equation of the centre of a circle
(x-a)2+(y-b)2=r2
The nth term
ar^n-1
Differentiation
nx^n-1
Integration
x^n+1/n+1
Radians to degrees
vita x 180/pi
Degrees to radians
vita x pi/180
Arc length
r x vita
Circumference
vita/180 x pi x r
Area of a sector
1/2 r2 x vita
The formula for solving Quadratic equations
x= -b(+or-) sqr(b^2 -4ac)/2a
Gradient of a line
y2-y1/x2-x1
Equation of line passing through 1 point with gradient m.
y-y1=m(x-x1)
THE FIVE FORMULAS FOR SOLVING PROBLEMS ON ACCELERATING PARTICLES.
v=u+at v2=u2+2as s=(v+u)/2)t s=ut+1/2at2 s=vt-1/2at2
Area of a trapezium
1/2(a+b)h
The impulse of a force
I=Ft
The impulse momentum principle
I=mv-mu
Principle of convention of momentum
m1u1+m2u2=m1v1+m2v2