Scientific Calculator
Full scientific calculator with trigonometry, logarithms, powers, and constants. Supports both DEG and RAD modes.
About the Scientific Calculator
Engineering, science, and advanced mathematics require functions beyond basic arithmetic - trigonometry for physics and navigation, logarithms for signal processing and chemistry, exponentials for finance and biology. This scientific calculator supports all standard mathematical functions with full expression evaluation, DEG/RAD mode switching, and support for constants like π and e - everything needed for coursework, engineering, and professional calculations.
Key Scientific Functions
Trig: sin(x), cos(x), tan(x) · Inverse: asin, acos, atan · Log: log10(x), ln(x) · Power: x^y, sqrt(x), cbrt(x)
DEG mode: sin(90°) = 1 · RAD mode: sin(π/2) = 1 · Euler's number e = 2.71828... · π = 3.14159... · ln(e) = 1 · log10(100) = 2
Worked Example
Physics problem: horizontal range of projectile at 45° angle, initial velocity 20 m/s
sin(90°) = 1 · R = 400 / 9.81 = 40.77 meters
Tips & Insights
- 1
Always check DEG vs RAD mode before computing trig functions - sin(90) in RAD mode gives 0.894, not 1. JEE problems almost always use degrees unless explicitly stated otherwise.
- 2
For pH calculations: pH = -log10(H+ concentration). A solution with H+ = 0.001 mol/L has pH = -log10(0.001) = 3. Use the log function directly and remember the negative sign.
- 3
Compound interest with continuous compounding uses A = P × e^(r×t). A principal of ₹1,00,000 at 8% continuously compounded for 10 years: 1,00,000 × e^(0.8) ≈ ₹2,22,554 - slightly more than annual compounding.
- 4
ln (natural log) and log10 serve different purposes. ln is used for exponential growth, half-life, and compound interest; log10 is used for pH, decibels, and the Richter scale - never substitute one for the other.
- 5
For projectile motion and wave problems, remember that sin^2(x) + cos^2(x) = 1 always. This identity lets you verify results: if your computed sin and cos values do not satisfy this, you have made an error somewhere.
- 6
The factorial function n! grows explosively - 10! = 3,628,800. In combinatorics (permutation and combination), large factorials cancel out in the formula. Compute nCr as n!/(r! × (n-r)!) by cancelling common terms before multiplying to avoid overflow.
- 7
Inverse trig functions (asin, acos, atan) return principal values: asin in [-90, 90], acos in [0, 180], atan in (-90, 90). For physics problems where the angle may be in a different quadrant, add the appropriate offset (180 or 360) based on the context.
Why this matters for you
Engineering and science students in India routinely need scientific calculator functions for JEE, GATE, NEET, and university exams. Having a reliable scientific calculator accessible on any device - without downloading an app - removes a friction point from study sessions, online coaching, and last-minute exam preparation.
Professional engineers and scientists use scientific functions daily: structural engineers compute sin/cos for load components, chemists use logarithms for equilibrium constants, economists use e^x for continuous growth models. A clean browser-based tool is often faster than switching to a dedicated app when you are already working in a browser or writing code.
Understanding what each function actually computes - rather than just pressing the right button - is the difference between using a calculator as a lookup table and using it as a thinking tool. When you know that log10(x) is the exponent that gives x in base 10, you can reason about orders of magnitude, scale comparisons, and Richter or decibel values intuitively. This calculator shows full expression evaluation so you can compose multi-step formulas without losing track of intermediate values.
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Frequently Asked Questions
What functions does this calculator support?+
Trigonometric: sin, cos, tan and their inverses asin, acos, atan. Hyperbolic: sinh, cosh, tanh. Logarithmic: log (base 10) and ln (natural log, base e). Power and root: x^y (power), sqrt (square root), cbrt (cube root). Other: abs (absolute value), ceil, floor. Constants: pi (3.14159...) and e (2.71828...). Full expression evaluation with standard operator precedence and parentheses. You can chain functions - for example sqrt(sin(45*pi/180)^2 + cos(45*pi/180)^2) evaluates to 1 using the Pythagorean identity. Enter expressions directly in the input field or use the on-screen buttons.
What is the difference between DEG and RAD mode?+
DEG mode uses degrees where a full circle is 360 degrees. RAD mode uses radians where a full circle is 2pi radians (approximately 6.2832). The two are related by: radians = degrees x pi / 180. Why it matters: sin(90) in DEG mode = 1. sin(90) in RAD mode is approximately 0.894, because 90 radians is a very large angle - about 14.3 full rotations. Everyday geometry uses degrees. Calculus, physics, signal processing, and Fourier analysis use radians because the derivative of sin(x) is cos(x) only in radian mode. JEE problems generally specify the mode or use degrees explicitly - always check before computing trig functions.
Can I type expressions directly?+
Yes - click the input field and type any mathematical expression using standard notation. Parentheses for grouping, ^ for powers, * for multiplication, / for division. Supported function names: sin, cos, tan, asin, acos, atan, log, ln, sqrt, abs, ceil, floor, and constants pi and e. Examples: (sin(30) + cos(60)) * 2, log(1000) / ln(10), sqrt(3^2 + 4^2), e^(0.08 * 10). Press Enter or click = to evaluate. The calculator respects standard operator precedence: exponentiation before multiplication or division before addition or subtraction. Use parentheses when in doubt.
What is the difference between log and ln?+
log() computes the base-10 logarithm: log(x) = y means 10^y = x. Common values: log(1) = 0, log(10) = 1, log(100) = 2, log(1000) = 3. ln() computes the natural logarithm with base e: ln(x) = y means e^y = x. Common values: ln(1) = 0, ln(e) = 1. When to use each: log base-10 is used for pH = -log10[H+], decibels, and the Richter scale. Natural log is used for compound interest, population growth, radioactive decay half-life, and continuous compounding. Key relationship: ln(x) = log(x) x 2.3026. They are proportional but not interchangeable - using the wrong one in a formula gives a wrong answer.
How do I use trigonometric functions correctly in DEG versus RAD mode?+
DEG mode uses degrees (full circle = 360 degrees), RAD mode uses radians (full circle = 2 pi, approximately 6.283). Most geometry and everyday problems use degrees. Physics and calculus use radians. Common mistake: sin(90) in DEG mode = 1, but sin(90) in RAD mode is approximately 0.894, since 90 radians does not equal 90 degrees. Conversion: radians = degrees x pi / 180. So sin(90 degrees) in RAD mode: sin(90 x pi / 180) = sin(1.5708) = 1. Always check which mode is active before computing trigonometric functions.
How do I compute powers and roots?+
Powers: x^y computes x raised to the power y. Examples: 2^10 = 1024, 3^4 = 81, 10^-2 = 0.01. For fractional powers: 8^(1/3) = cbrt(8) = 2 (cube root). For any nth root, use x^(1/n). Square root: sqrt(x) or x^0.5. For scientific notation: 6.022 x 10^23 (Avogadro's number) = 6.022 * 10^23 in the input. The calculator handles negative bases with integer exponents: enter (-2)^3 with parentheses to get -8. Without parentheses, -2^3 is interpreted as -(2^3) = -8 in this case, but always use parentheses with negative bases to be unambiguous.
What are hyperbolic functions and when are they used?+
Hyperbolic functions (sinh, cosh, tanh) are analogues of trigonometric functions defined using the exponential function. sinh(x) = (e^x - e^-x) / 2; cosh(x) = (e^x + e^-x) / 2; tanh(x) = sinh(x) / cosh(x). Key identity: cosh^2(x) - sinh^2(x) = 1 (analogous to sin^2 + cos^2 = 1). They appear in catenary curves (the shape of a hanging cable or power line between two poles), special relativity, heat transfer, and the solution of certain differential equations. For engineering students: the exact shape of a sagging power line is cosh(x/a), not a parabola. GATE Mathematics problems occasionally require hyperbolic function evaluation.