How to Use the Scientific Calculator
- Click the on-screen keypad buttons or type directly using your physical computer keyboard.
- Toggle between Degree (Deg) and Radian (Rad) angle units for trigonometric calculations (sin, cos, tan).
- Use parentheses ( and ) to specify operator precedence and group complex terms.
- Access mathematical constants like π (Pi = 3.14159...) and e (Euler’s number = 2.71828...).
- Press "=" or the Enter key to evaluate the expression.
- View your calculation history list to recall previous results or clear the history as needed.
Operator Precedence & Mathematical Functions Explained
This scientific calculator implements a safe AST parser using Dijkstra’s Shunting-Yard algorithm. Standard Mathematical Rules: • Order of Operations: Parentheses → Functions → Exponents/Factorials → Multiplication/Division → Addition/Subtraction (BODMAS / PEMDAS). • Trigonometry: - In Degree Mode: sin(30°) = 0.5, cos(60°) = 0.5, tan(45°) = 1.0. - In Radian Mode: sin(π/6) = 0.5, cos(π/3) = 0.5, tan(π/4) = 1.0. • Logarithms: - log(x) = base-10 logarithm (log10(100) = 2). - ln(x) = natural logarithm to base e (ln(e) = 1). • Factorials: n! = n × (n - 1) × ... × 1 (e.g., 5! = 120).
Example 1: Algebraic & Power Expression
Expression: 10 + 5 * 2^3 - (4 / 2)
Power: 2^3 = 8 Multiply: 5 * 8 = 40 Parentheses: 4 / 2 = 2 Result: 10 + 40 - 2 = 48
Result = 48
Example 2: Trigonometric Identity (Degrees)
Expression: sin(30) + cos(60) + tan(45)
sin(30°) = 0.5 cos(60°) = 0.5 tan(45°) = 1.0 Sum: 0.5 + 0.5 + 1.0 = 2.0
Result = 2
Example 3: Combined Roots and Factorials
Expression: sqrt(144) + 5! / 10
sqrt(144) = 12 5! = 120 120 / 10 = 12 Sum: 12 + 12 = 24
Result = 24
Scientific Calculator Tips
- ✓Use the keyboard shortcut "Enter" to evaluate expressions and "Esc" or "C" to clear the display.
- ✓Remember to check your angle unit (Deg vs Rad) before solving engineering or physics trigonometric questions.
- ✓Nested parentheses can be used to any depth: e.g., ((3 + 5) * 2)^2 = 256.
- ✓Click on any previous item in the Calculation History log to re-populate the expression into the display.
Common Missteps
- ✗Forgetting to switch from Degree to Radian mode when calculating calculus or higher physics formulas.
- ✗Entering negative numbers under square root (sqrt) functions in the real domain.
- ✗Unclosed or mismatched opening and closing parentheses.
- ✗Attempting division by zero or logarithms of zero and negative values.