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Scientific Calculator

Full scientific calculator with trigonometry (sin, cos, tan and inverses), log, ln, square root, powers, pi, e, memory functions, and calculation history. DEG and RAD modes.

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DEG and RAD modesMemory functionsCalculation history2ND inverse mode
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أمثلة عملية

Structural engineering: angle of a ramp

A loading ramp rises 1.5m over a horizontal run of 6m. The angle = arctan(1.5/6) = atan(0.25) = 14.04°. Enter: atan(1.5/6). The sine of this angle = sin(14.04°) = 0.2425 — confirming the ratio 1.5/6.18 (hypotenuse = √(1.5² + 6²) = √(38.25) = 6.185m).

Finance: compound interest using eˣ (continuous compounding)

AED 50,000 at 5% continuous compounding for 7 years. FV = P × e^(rt) = 50,000 × e^(0.05×7) = 50,000 × e^0.35 = 50,000 × 1.4191 = AED 70,956. Enter: 50000 × ℮^0.35. Compare with monthly compounding: 50,000 × (1 + 0.05/12)^84 = AED 70,918 — only AED 38 less.

Signal processing: decibel calculation using log

Sound intensity level in decibels: dB = 10 × log(I/I₀). A jet engine at 1W/m² vs threshold 10⁻¹² W/m². dB = 10 × log(1/10⁻¹²) = 10 × log(10¹²) = 10 × 12 = 120 dB. Enter: 10 × log(1e12). Every 10 dB = 10x intensity; every 3 dB ≈ 2x intensity.

الأسئلة الشائعة

~5 min read
What is the difference between DEG and RAD mode?
Trigonometric functions take an angle as input. In DEG mode (degrees), a full circle = 360°. In RAD mode (radians), a full circle = 2π ≈ 6.2832. Most everyday calculations use degrees. Radians are standard in physics, calculus, and engineering. To convert: radians = degrees × π/180. sin(30°) in DEG mode = 0.5; to get the same answer in RAD mode you would enter sin(0.5236).
What does 2ND mode (inverse trig) do?
The 2ND button switches sin/cos/tan to their inverse functions: asin (arcsin), acos (arccos), atan (arctan). These find the angle given a ratio. If sin(θ) = 0.5, then θ = asin(0.5) = 30° (in DEG mode). Useful in geometry and navigation: if you know two sides of a right triangle, atan(opposite/adjacent) gives the angle.
What is the order of operations (BODMAS/PEMDAS)?
The calculator follows standard mathematical order of operations: Brackets/Parentheses first, then Exponents (powers), then Multiplication and Division (left to right), then Addition and Subtraction (left to right). To override this order, use parentheses: 2 + 3 × 4 = 14 (multiplication first), but (2 + 3) × 4 = 20. Always use parentheses in complex expressions to be explicit about the intended order.
How does memory (MC, MR, M+, M-) work?
MC (Memory Clear) resets stored memory to 0. MR (Memory Recall) loads the stored value into the display. M+ (Memory Plus) adds the current display value to memory. M- (Memory Minus) subtracts the current display value from memory. Example: calculate 15% of three amounts and sum them: compute each ×0.15, press M+ after each, then MR to get the total.
What is log versus ln?
log (log base 10) asks: what power of 10 equals x? log(100) = 2 because 10² = 100. Used in decibel calculations, pH chemistry, earthquake magnitude (Richter scale), and some financial formulas. ln (natural log, base e) asks: what power of e equals x? ln(e) = 1; ln(7.389) = 2 because e² ≈ 7.389. Used in calculus, continuous compounding, growth/decay models, and information theory.
How do I calculate percentage with the scientific calculator?
Use the % button to divide by 100. For percentage of a number: 15% of 240 = 240 × 15% = enter 240 × 15% which computes 240 × 0.15 = 36. For percentage change: (new - old) / old × 100. If price goes from 50 to 67: (67 - 50) / 50 × 100 = 34%. Enter: (67-50)/50 × 100 = 34.
What is Euler's number e?
e ≈ 2.71828 is one of mathematics' most important constants. It is the base of the natural logarithm, the unique number where the function eˣ equals its own derivative. It appears in continuous compound interest (A = Pe^(rt)), in probability (the Poisson distribution), in statistics (the normal distribution formula), and throughout calculus. The 2ND mode eˣ button raises e to any power.
What does √ (square root) compute?
The square root of x is the number that, when multiplied by itself, gives x. √(144) = 12 because 12 × 12 = 144. √(2) ≈ 1.41421 is irrational — it cannot be expressed as a simple fraction. For higher roots: cube root of x = x^(1/3); fourth root = x^(1/4). Enter: 27^(1/3) = 3 (cube root of 27).

Results are computed using IEEE 754 double-precision floating point arithmetic. For extremely large numbers or very small differences near floating-point limits, verify critical calculations with a dedicated mathematical software package.