A math calculator is a tool used to perform mathematical calculations quickly and accurately. To use this calculator, you input numerical values and select the desired operation, such as addition, subtraction, multiplication, or division. More advanced calculators can handle complex functions like square roots, exponents, logarithms, trigonometric calculations, and even statistical or algebraic equations. Some calculators may also allow for variables, graphing capabilities, or programming functions. Based on these inputs, the math calculator processes the data and provides the result, helping users solve problems efficiently, verify manual calculations, or explore mathematical concepts with precision.
| Category | Formula | Description |
|---|---|---|
| Quadratic Equation | x = [-b ± √(b²-4ac)]/2a | Solutions for ax² + bx + c = 0 |
| Linear Equation | y = mx + b | Slope-intercept form |
| Exponents | aⁿ × aᵐ = aⁿ⁺ᵐ | Product of powers rule |
| Category | Formula | Description |
|---|---|---|
| Circle Area | A = πr² | Area of a circle |
| Triangle Area | A = ½bh | Area of a triangle |
| Pythagorean Theorem | a² + b² = c² | Right triangle side relationship |
| Category | Formula | Description |
|---|---|---|
| Sine Ratio | sinθ = opposite/hypotenuse | Right triangle ratio |
| Cosine Ratio | cosθ = adjacent/hypotenuse | Right triangle ratio |
| Tangent Ratio | tanθ = opposite/adjacent | Right triangle ratio |
| Category | Formula | Description |
|---|---|---|
| Derivative | d/dx(xⁿ) = nxⁿ⁻¹ | Power rule for derivatives |
| Integral | ∫xⁿdx = xⁿ⁺¹/(n+1) + C | Power rule for integrals (n ≠ -1) |
| Chain Rule | d/dx[f(g(x))] = f'(g(x))g'(x) | Derivative of composite functions |
| Category | Formula | Description |
|---|---|---|
| Mean | μ = (Σx)/n | Average of data set |
| Standard Deviation | σ = √[Σ(x-μ)²/n] | Population standard deviation |
| Correlation | r = Σ[(x-x̄)(y-ȳ)]/[√Σ(x-x̄)²√Σ(y-ȳ)²] | Pearson correlation coefficient |
| Category | Formula | Description |
|---|---|---|
| Compound Interest | A = P(1 + r/n)ⁿᵗ | Future value of investment |
| Loan Payment | PMT = P[r(1+r)ⁿ]/[(1+r)ⁿ-1] | Fixed monthly payment |
| Present Value | PV = FV/(1+r)ⁿ | Current worth of future amount |