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Scientific Calculator Guide

Our scientific calculator handles advanced mathematical functions including trigonometry, logarithms, exponents, factorials, and more. Perfect for students, engineers, and scientists.

Understanding Scientific Functions

Scientific calculators extend basic arithmetic with functions like sin, cos, tan (trigonometry), log, ln (logarithms), exponentials, powers, roots, and factorials. These are essential for advanced math, physics, and engineering.

Key Scientific Functions

Trig: sin, cos, tan and inverses. Logs: log (base 10), ln (base e). Powers: xⁿ, √x, ⁿ√x. Constants: π ≈ 3.14159, e ≈ 2.71828. Factorial: n! = n × (n-1) × ... × 1.

Example:

sin(30°) = 0.5. log(100) = 2. ln(e²) = 2. 2⁵ = 32. 5! = 120. √144 = 12.

Common Use Cases

Real-world applications for this calculator

  • Trigonometry

    Calculate angles, distances, and wave functions.

  • Exponential Growth

    Model population growth, compound interest, and decay.

  • Engineering

    Signal processing, circuit analysis, and physics calculations.

Tips

  • Check DEG/RAD mode before trig calculations.
  • Use parentheses to ensure correct order of operations.
  • e^x and ln are inverse functions: ln(e^x) = x.
  • For very large/small numbers, use scientific notation (EE or EXP key).

Frequently Asked Questions

What is the difference between log and ln?

log (common logarithm) uses base 10: log(100) = 2 because 10² = 100. ln (natural logarithm) uses base e ≈ 2.718: ln(e) = 1. They're related: ln(x) = log(x) / log(e).

How do I switch between degrees and radians?

To convert: radians = degrees × (π/180). Degrees = radians × (180/π). 180° = π radians. Most calculators have a DEG/RAD mode button.

What is a factorial?

n! (n factorial) = n × (n-1) × (n-2) × ... × 1. For example, 5! = 5×4×3×2×1 = 120. By definition, 0! = 1. Factorials grow extremely fast.

What is e (Euler's number)?

e ≈ 2.71828 is the base of natural logarithms. It's the limit of (1 + 1/n)ⁿ as n → ∞. It appears in growth/decay, compound interest, and calculus.

How do inverse trig functions work?

Inverse functions (sin⁻¹, cos⁻¹, tan⁻¹ or arcsin, arccos, arctan) give the angle for a given ratio. sin⁻¹(0.5) = 30° because sin(30°) = 0.5.

Related Calculators

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Prime Factorization Calculator

Break down numbers into prime factors

Fractions Calculator

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Scientific Notation Converter

Convert numbers to and from scientific notation

Scientific Notation

Convert numbers to and from scientific notation

Conversion Mode

Examples: 12345000, 0.00045, -6700000

Scientific Notation

a × 10ⁿ where 1 ≤ |a| < 10
  • Large numbers: 5,000,000 = 5 × 10⁶
  • Small numbers: 0.0003 = 3 × 10⁻⁴
  • E-notation: 5e6 = 5 × 10⁶

Enter a number to convert to scientific notation

Scientific notation is used to express very large or very small numbers in a more compact form. It's widely used in science, engineering, and mathematics.

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