📖 How Scientific Calculator Works
A scientific calculator extends the basic four operations (add, subtract, multiply, divide) with advanced mathematical functions including trigonometry, logarithms, exponents, and roots. These functions are essential for students, engineers, scientists, and anyone working with technical calculations.
Trigonometric Functions
Note: This calculator uses radians by default (standard for most scientific applications). To convert degrees to radians: multiply by π/180. For example, 90° = π/2 ≈ 1.5708 radians.
Logarithms
The natural logarithm (ln) uses base e (≈2.71828), while log₁₀ uses base 10. Logarithms are the inverse of exponentiation: if 10² = 100, then log₁₀(100) = 2. They are fundamental in finance (compound growth), physics (sound decibels), and chemistry (pH scale).
Order of Operations (PEMDAS)
Parentheses → Exponents → Multiplication/Division → Addition/Subtraction. Use parentheses liberally to ensure your expressions evaluate in the intended order.
❓ What is Euler's number (e)?
e ≈ 2.71828 is the base of the natural logarithm. It appears naturally in continuous compounding, population growth, radioactive decay, and probability theory. It is defined as the limit of (1 + 1/n)^n as n approaches infinity.
❓ What is the factorial function?
n! (n factorial) is the product of all positive integers from 1 to n. For example, 5! = 5×4×3×2×1 = 120. Factorials grow extremely fast: 20! = 2.4 quintillion. They are fundamental to combinatorics, probability, and the Taylor series expansions of functions like sin(x) and eˣ.