Scientific Calculator

Evaluate nested expressions with trigonometry (Deg/Rad), logs, roots, factorials, constants π and e, plus interactive f(x) curve plotting.

Result (DEG Mode)
133
Expression: 2 * sin(30) + sqrt(144) + 5! • Scientific: 1.3300e+2
Standard Decimal 133
Scientific Notation 1.3300e+2
Nearest Integer 133
Trigonometric Mode Degrees (°)
Inputs
Supports +, -, *, /, ^, !, (), pi, e, sin, cos, tan, asin, acos, atan, sqrt, cbrt, ln, log10, abs.
Applies to sin, cos, tan, asin, acos, atan.
Enter an expression in variable x to sample across x ∈ [−10, 10].
Scientific Keypad
Results & Graph
Result (DEG Mode)
133
Expression: 2 * sin(30) + sqrt(144) + 5! • Scientific: 1.3300e+2
Standard Decimal
133
Scientific Notation
1.3300e+2
Nearest Integer
133
Trigonometric Mode
Degrees (°)

Function Plotter Preview: f(x) = x^2 - 4

Sampled values of f(x) from x = −10 to x = +10 (radians)
Graph 1 • Coordinate Plot of Sampled Function Points Evaluated across domain intervals
0 51.8 103.7 x=-10: 96 96 x=-10 x=-8: 60 x=-6: 32 32 x=-6 x=-4: 12 x=-2: 0 0 x=-2 x=0: 0 x=2: 0 0 x=2 x=4: 12 x=6: 32 32 x=6 x=8: 60 x=10: 96 96 x=10
Graph 2 • Trigonometric Unit Circle & sin/cos Projections Visualizes cos(x) horizontal and sin(x) vertical components
Unit Circle & Function Properties (x = 133) • cos(x) Horizontal Projection = 0.49487 • sin(x) Vertical Projection = 0.86897 • Identity Check: sin²(x) + cos²(x) = 1.00000 • Angle Equivalent: 7620.34° deg
Graph 3 • Algebraic & Logarithmic Transforms of Result Compares x, x², √|x|, and ln(|x|)
Evaluated Result (x) 133 Square (x²) 17689 Square Root (√|x|) 11.5326 Natural Log ln(|x|) 4.8903
Summary: Expression 2 * sin(30) + sqrt(144) + 5! evaluates to 133.
Summary: Evaluating "2 * sin(30) + sqrt(144) + 5!" in Degrees mode produces 133 (1.3300e+2 in scientific notation).

Formula & Mathematical Methodology: Recursive-Descent Operator Precedence Grammar

f(x) = sin(x) + ln(x) + x + n!xy
Precedence: Parentheses () → Functions sin/ln/sqrt → Factorial n! & Power ^ → Multiply/Divide *, / → Add/Subtract +, −
  • deg → rad: θ_rad = θ_deg × (π / 180)
  • n!: Factorial product 1 × 2 × ... × n for non-negative integers n ≤ 170

Rounding: IEEE-754 double precision internal evaluation; rounded to 8 decimal places to eliminate floating-point noise like sin(30°) = 0.49999999999999994.

Worked Example: Evaluate 2 * sin(30) + sqrt(144) + 5! in Degrees Mode

Combine trigonometric, radical, and factorial terms in a single expression.

  1. sin(30°) = 0.5, so 2 × 0.5 = 1.
  2. sqrt(144) = 12.
  3. 5! = 5 × 4 × 3 × 2 × 1 = 120.
  4. Sum = 1 + 12 + 120 = 133.
Result: Expression evaluates to exactly 133 (1.3300e+2).

Frequently Asked Questions

Why did my trig function give an unexpected negative number?

Check whether the Angle Unit selector is set to Degrees (DEG) or Radians (RAD). For example, cos(60) is +0.5 in Degrees, but −0.9524 in Radians.

Mathematics & Statistics • Algebra, Trigonometry & Function Evaluation Guide

How to Use the Scientific Calculator: Practical Guide & Visual Analysis

Use either the interactive scientific keypad or direct keyboard formulas to evaluate algebraic, trigonometric, exponential, and logarithmic expressions, and preview any single-variable function f(x) across [−10, 10]. Whether you are researching math calculator, trig calculator, sin cos tan calculator, logarithm calculator, exponent calculator, this interactive tool helps you evaluate complex mathematical expressions with parentheses, trigonometry (Deg/Rad), logarithms, factorials, exponents, and plot f(x) functions.

Interpreting the 3 Custom Visual Graphs & Key Outputs

As you adjust Mathematical Expression, Trigonometric Angle Unit, Function to Plot f(x), the calculator immediately computes Evaluated Decimal Result, Scientific Notation, Nearest Integer, Sampled f(x) Plot Table and updates all three domain-specific SVG charts in real time. Instead of relying on a single static figure, you can inspect the primary domain diagram, component breakdown, and multi-point trajectory curve to see how changing your inputs shifts the final result. Use the Compare (up to 3 scenarios) button to evaluate side-by-side variations before making a decision.

Real-World Benchmark & Planning Tips (Global)

In our benchmark scenario (Evaluate 2 * sin(30) + sqrt(144) + 5! in Degrees Mode), Expression evaluates to exactly 133 (1.3300e+2). Keep in mind that uses standard PEMDAS/BODMAS operator precedence with right-associative exponentiation. For related calculations in Mathematics & Statistics, explore Geometry Calculator (Right Triangle, Circle & Cylinder), Statistics & Standard Deviation Calculator, Percentage Calculator.