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Quick Calculations
Scientific Constants
| Constant | Symbol | Value |
|---|---|---|
| Pi | π | 3.141592653589793 |
| Euler's Number | e | 2.718281828459045 |
| Golden Ratio | φ | 1.618033988749894 |
| Speed of Light | c | 299,792,458 m/s |
| Gravitational Constant | G | 6.67430×10⁻¹¹ |
Scientific Calculator Functions Guide
A scientific calculator is essential for students, engineers, and scientists. It performs complex mathematical operations beyond basic arithmetic.
Key Functions Explained
Trigonometric Functions
- sin(x): Sine of angle x
- cos(x): Cosine of angle x
- tan(x): Tangent of angle x
- sin⁻¹(x): Inverse sine (arcsine)
Logarithmic Functions
- log(x): Base-10 logarithm
- ln(x): Natural logarithm (base e)
- logₐ(b): Use ln(b)/ln(a)
Exponential Functions
- x²: Square of x
- x³: Cube of x
- xʸ: x to power y
- √x: Square root
Scientific Notation
- 1.23E4: 1.23 × 10⁴
- 5.67E-3: 5.67 × 10⁻³
- Use for very large/small numbers
Common Scientific Formulas
| Formula | Equation | Example |
|---|---|---|
| Pythagorean Theorem | a² + b² = c² | 3² + 4² = 5² |
| Quadratic Formula | x = [-b ± √(b²-4ac)]/2a | x² - 5x + 6 = 0 → x = 2,3 |
| Area of Circle | A = πr² | r=5 → A=78.54 |
| Volume of Sphere | V = (4/3)πr³ | r=3 → V=113.1 |
Frequently Asked Questions
What's the difference between DEG and RAD modes?
DEG uses degrees (360° in circle), RAD uses radians (2π radians in circle). Use DEG for geometry, RAD for calculus.
How do I calculate combinations and permutations?
nCr = n!/(r!(n-r)!) for combinations, nPr = n!/(n-r)! for permutations. Use factorial (!) function.