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).
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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

Scientific Calculator: inputs, method, and how to read the result

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

Choose inputs for the case you are checking

The defaults are illustrative. Replace them with values for your case and keep the units shown beside each field.

  • Trigonometric Angle Unit: Applies to sin, cos, tan, asin, acos, atan.

What the calculation includes

With the default values shown, Result (DEG Mode) is 133. The calculation follows Recursive-Descent Operator Precedence Grammar; the formula and variable definitions above show how the inputs combine.

One-input check: With the other defaults held constant, changing Trigonometric Angle Unit from Degrees (DEG: e.g. sin(30) = 0.5) to Radians (RAD: e.g. sin(pi/6) = 0.5) changes Result (DEG Mode) (133) to Result (RAD Mode) (130.0239). This is a comparison inside the calculator's stated model, not a prediction.

Where to use caution

  • Uses standard PEMDAS/BODMAS operator precedence with right-associative exponentiation.
  • Factorials above 170! exceed the IEEE-754 64-bit floating-point maximum (~1.797 × 10³⁰⁸).

Scope: Global Check the assumptions and limitations against your situation before relying on the estimate.

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