Math Formulas.
A quick reference guide for essential Math and Physics formulas.
Algebra
Quadratic Formula
x = (-b ± √(b² - 4ac)) / 2a
Used to find the roots of a quadratic equation.
Slope-Intercept Form
y = mx + b
Linear equation where m is the slope and b is the y-intercept.
Point-Slope Form
y - y1 = m(x - x1)
Equation of a line given a point and the slope.
Geometry
Area of a Circle
A = πr²
r is the radius of the circle.
Circumference
C = 2πr
r is the radius.
Pythagorean Theorem
a² + b² = c²
Used for right-angled triangles where c is the hypotenuse.
Volume of a Cylinder
V = πr²h
r is radius, h is height.
Trigonometry
Sine (SOH)
sin(θ) = Opposite / Hypotenuse
Cosine (CAH)
cos(θ) = Adjacent / Hypotenuse
Tangent (TOA)
tan(θ) = Opposite / Adjacent
Pythagorean Identity
sin²(θ) + cos²(θ) = 1
Physics (Kinematics)
Velocity
v = v0 + at
Velocity given initial velocity, acceleration, and time.
Displacement
Δx = v0t + ½at²
Distance traveled over time.
Velocity-Displacement
v² = v0² + 2aΔx
Velocity irrespective of time.
Force
F = ma
Newton's Second Law.