Scientific Calculator

Free online scientific calculator for algebra, trigonometry, and engineering — sin, cos, tan, log, ln, exponents, roots, and π. Works in any browser, no down...

Reviewed by CalculatorApp.me Math Team

Free Scientific Calculator — Full Guide

Trig, logarithms, exponents, roots, and complex expressions — everything a TI-84 can do, right in your browser. No download, no signup.

sin/cos/tan

Trig functions

log / ln

Logarithms

x² √x xⁿ

Powers & roots

π e φ

Math constants

What Is a Scientific Calculator?

A scientific calculator is an online tool that adds trigonometry (sin, cos, tan), logarithms (log, ln), exponents, roots, factorials, and scientific notation to basic arithmetic — the functions required for algebra, physics, and engineering coursework.

Unlike a basic calculator, a scientific calculator follows the order of operations (PEMDAS/BODMAS) automatically — parentheses, exponents, multiplication, division, addition, subtraction. This prevents the classic error of entering 2 + 3 × 4 and getting 20 instead of the correct 14.

This free online scientific calculator works identically to the TI-84 Plus and Casio fx-991EX — the two most common calculators used in high school and university STEM courses. All functions work offline once the page loads.

Scientific Calculator Functions

FunctionKeyExampleResult
Sinesin(x)sin(30°)0.5
Cosinecos(x)cos(60°)0.5
Tangenttan(x)tan(45°)1
Inverse sinesin⁻¹(x)sin⁻¹(0.5)30°
Inverse cosinecos⁻¹(x)cos⁻¹(0.5)60°
Inverse tangenttan⁻¹(x)tan⁻¹(1)45°
Common loglog(x)log(100)2
Natural logln(x)ln(e)1
Power of 1010^x10^31000
Natural exponentiale^27.389
Square root√x√14412
Cube root∛x∛273
nth powerxⁿ2^101024
Factorialx!7!5040
Piππ × r²Area formula
Euler's numbere2.71828

Common Scientific Formulas

Quadratic Formula
x = (−b ± √(b² − 4ac)) / 2a

For ax² + bx + c = 0

Example: x² − 5x + 6 = 0
a=1, b=−5, c=6
x = (5 ± √(25−24)) / 2 = (5 ± 1) / 2
x = 3 or x = 2

Discriminant b²−4ac > 0: two real roots · = 0: one root · < 0: no real roots

Trigonometric Identities
sin²θ + cos²θ = 1
tan θ = sin θ / cos θ

Double angle:
sin(2θ) = 2 sin θ cos θ
cos(2θ) = cos²θ − sin²θ

Pythagorean theorem:
a² + b² = c²

Work in radians for calculus; degrees for most geometry and physics problems.

Logarithm Rules
log(ab)   = log(a) + log(b)
log(a/b)  = log(a) − log(b)
log(aⁿ)   = n × log(a)

Change of base:
logₐ(x) = log(x) / log(a)
        = ln(x) / ln(a)

log without base = log₁₀. ln = logₑ. Always the same rules, different bases.

Compound Interest & Growth
A = P(1 + r/n)^(nt)

P = principal · r = annual rate
n = compounds/year · t = years

Continuous growth:
A = Pe^(rt)

Half-life:
t½ = ln(2) / λ  ≈  0.693 / λ

Use eˣ for continuous compounding, half-life, and radioactive decay.

Step-by-Step Examples

Finding the hypotenuse with sin
1

Given: opposite = 5, angle θ = 30°

2

sin(30°) = opposite / hypotenuse

3

0.5 = 5 / hypotenuse

4

hypotenuse = 5 / 0.5 = 10

Answer: hypotenuse = 10

Solving log₃(81)
1

log₃(81) = log(81) / log(3)

2

= 4.3219 / 1.5850

3

= 4

4

Check: 3⁴ = 81 ✓

Answer: log₃(81) = 4

Compound interest: $1,000 at 5% for 10 years
1

A = 1000 × (1 + 0.05/12)^(12×10)

2

= 1000 × (1.004167)^120

3

= 1000 × 1.6470

4

= $1,647.01

Answer: $1,647.01 after 10 years

Evaluating 7! (factorial)
1

7! = 7 × 6 × 5 × 4 × 3 × 2 × 1

2

= 7 × 720

3

= 5,040

Answer: 5,040

Memory Keys Explained

M+

Add the current display value to memory.

M−

Subtract the current display value from memory.

MR / RCL

Recall (display) the stored memory value.

MC / CM

Clear (reset to zero) the memory register.

MS / STO

Store the current display value in memory, replacing any previous stored value.

ANS

Inserts the result of the previous calculation — useful for chaining operations.

History of the Scientific Calculator

1972

HP-35 — First Pocket Scientific Calculator

Hewlett-Packard introduced the HP-35 for $395, replacing the slide rule. It was the first pocket calculator with trig and log functions.

1975

TI SR-50 — Texas Instruments Enters the Market

TI's SR-50 brought scientific calculators to the mass market at under $150, triggering widespread adoption in education.

1985

TI-81 — Graphing Calculator Introduced

Texas Instruments launched the TI-81 graphing calculator, later evolving into the TI-84 series still required by schools today.

1991

Casio fx-7000G — First Graphing Calculator with Memory

Casio's fx series combined scientific functions with equation solving and memory, popularizing programmable calculators in Europe and Asia.

2007

Online Scientific Calculators

Browser-based scientific calculators appeared alongside the iPhone era, making full-featured math available without any hardware purchase.

2020s

AI-Assisted Math Solvers

Modern tools now combine scientific calculator functions with step-by-step explanations, OCR photo input, and CAS (Computer Algebra Systems).

Frequently Asked Questions

What is a scientific calculator used for?
A scientific calculator handles trigonometry (sin, cos, tan), logarithms (log, ln), exponents, roots, factorials, and scientific notation — functions needed in physics, chemistry, engineering, and advanced math courses.
How do I calculate sin, cos, and tan?
Enter the angle value, then press sin, cos, or tan. Make sure you are in the correct angle mode (DEG for degrees, RAD for radians). Example: sin(30°) = 0.5 in degree mode.
What is the difference between log and ln?
log (or log₁₀) is the base-10 logarithm: log(1000) = 3. ln is the natural logarithm base e ≈ 2.71828: ln(e) = 1. Use ln for growth/decay problems; log for decibels, pH, and Richter scale.
How do I enter scientific notation?
Press EE or EXP then the exponent. e.g. 3.5 × 10⁶ is entered as 3.5 EE 6. The display shows 3.5E6. Answers in scientific notation mean the number is very large or very small.
What does the ANS key do?
ANS recalls the result of the last calculation and inserts it into the current expression. Useful for chaining multi-step problems: compute part 1, press =, then start part 2 using ANS.
Is this calculator equivalent to a TI-84?
Yes — this free online scientific calculator covers all standard TI-84 Plus functions used in high school and university: trig, inverse trig, log, ln, powers, roots, factorials, and the mathematical constants π and e.
How do I calculate a factorial?
Enter the number, then press x! or n!. Example: 5! = 5 × 4 × 3 × 2 × 1 = 120. Factorials grow very quickly — 20! ≈ 2.4 × 10¹⁸.
What is PEMDAS / BODMAS?
It is the order of operations: Parentheses → Exponents → Multiplication → Division → Addition → Subtraction. Scientific calculators follow this order automatically, so 2 + 3 × 4 = 14, not 20.
How do I change between degrees and radians?
Look for a DEG/RAD toggle button or mode setting. For most geometry and physics problems use DEG. For calculus use RAD — derivatives and integrals of trig functions assume radian input.
Can I use this for SAT or ACT prep?
Yes. This calculator covers all functions permitted on the SAT Math section and the ACT Math section. It is equivalent to the TI-84, which is the most common calculator allowed in both exams.

References

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Scientific Calculator — Answer & Method

Full-featured scientific calculator with trigonometric, logarithmic, and exponential functions.

Formula: Scientific Functions

sin, cos, tan, log, ln, e^x, x^y, √x, n!

x = Input

Example Calculation

sin(45°) = √2/2 ≈ 0.7071.

Important limitation

Check the result against your specific circumstances before making a decision.

Key Facts

  • Scientific calculators follow IEEE 754 double-precision floating point standard.

Sources & Validation

IEEE 754 Standard

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