Free Online Scientific Calculator
Result: sin(45°) = 0.7071
Scientific Calculator FREE
sin(45°) = 0.7071
Trigonometric Function
High Precision
100% Free • Online
Function Type
Trigonometric
Operation
sin(45°)
Result
0.7071
Scientific Notation
7.071 × 10⁻¹
Angle Unit
Degrees
Precision
4 decimals
Calculation Steps:
1. Function: sin(45°)
2. Convert to radians: 45° = π/4 = 0.7854 rad
3. Apply sine function: sin(0.7854)
4. Calculate result: 0.7071
5. Verification: sin(45°) = √2/2 ≈ 0.7071 ✓
6. Scientific notation: 7.071 × 10⁻¹
Mathematical Representation:
Function: sin(45°)
Radians: sin(π/4)
Result: √2/2 = 0.7071
Free Online Scientific Calculator Tools
About Free Online Scientific Calculator
The Free Online Scientific Calculator is an advanced and completely free mathematical tool designed to perform complex scientific calculations including trigonometry, logarithms, exponentials, and statistical functions. This free online scientific calculator is perfect for students, teachers, engineers, scientists, and researchers who need advanced mathematical calculations at no cost.
Why Choose Our Free Online Scientific Calculator?
100% Free and Online
Our scientific calculator is completely free and works online without restrictions. No downloads, installations, registrations, or payments required. Simply access from your browser and start performing advanced scientific calculations immediately.
Free Online Scientific Features:
Instant Access: Calculate scientific functions instantly online
No Downloads: Works directly in your browser
Cross-Platform: Compatible with PC, tablet, and mobile
All Scientific Functions: Trigonometry, logarithms, exponentials, statistics
Detailed Steps: Complete explanation of the calculation process
High Precision: Up to 12 decimal places accuracy
Scientific Functions Available Free Online
1. Trigonometric Functions Free Online
Essential trigonometric calculations: sin, cos, tan, sec, csc, cot with high precision
Trigonometric Functions Features:
Primary Functions: sin(x), cos(x), tan(x)
Reciprocal Functions: sec(x), csc(x), cot(x)
Multiple Angle Units: Degrees, radians, gradians
High Precision: Up to 12 decimal places
Example: sin(30°) = 0.5, cos(60°) = 0.5, tan(45°) = 1
Applications: Physics, engineering, navigation, astronomy
2. Logarithmic Functions Free Online
Logarithmic calculations: Natural logarithm (ln), common logarithm (log), custom base logarithms
Logarithmic Functions Features:
Natural Logarithm: ln(x) - base e logarithm
Common Logarithm: log₁₀(x) - base 10 logarithm
Binary Logarithm: log₂(x) - base 2 logarithm
Custom Base: log_b(x) - any base logarithm
Example: ln(e) = 1, log₁₀(100) = 2, log₂(8) = 3
Applications: Chemistry, biology, computer science, economics
3. Exponential Functions Free Online
Exponential calculations: e^x, 10^x, x^y with arbitrary precision
Exponential Functions Features:
Natural Exponential: e^x - Euler's number exponential
Decimal Exponential: 10^x - base 10 exponential
Power Functions: x^y - any base to any power
Scientific Notation: Automatic handling of large numbers
Example: e^1 = 2.7183, 10^3 = 1000, 2^10 = 1024
Applications: Growth models, compound interest, radioactive decay
4. Hyperbolic Functions Free Online
Hyperbolic calculations: sinh, cosh, tanh and their inverses
Hyperbolic Functions Features:
Hyperbolic Sine: sinh(x) = (e^x - e^(-x))/2
Hyperbolic Cosine: cosh(x) = (e^x + e^(-x))/2
Hyperbolic Tangent: tanh(x) = sinh(x)/cosh(x)
Inverse Functions: asinh, acosh, atanh
Example: sinh(0) = 0, cosh(0) = 1, tanh(∞) = 1
Applications: Calculus, differential equations, physics
5. Inverse Trigonometric Functions Free Online
Inverse trigonometric calculations: arcsin, arccos, arctan with proper domain handling
Inverse Trigonometric Features:
Arcsine: arcsin(x) - inverse of sine function
Arccosine: arccos(x) - inverse of cosine function
Arctangent: arctan(x) - inverse of tangent function
Domain Checking: Automatic validation of input ranges
Example: arcsin(0.5) = 30°, arccos(0.5) = 60°, arctan(1) = 45°
Applications: Geometry, navigation, computer graphics
6. Factorial and Combinatorial Functions Free Online
Combinatorial calculations: Factorials, combinations, permutations
Combinatorial Functions Features:
Factorial: n! = n × (n-1) × ... × 2 × 1
Combinations: C(n,r) = n!/(r!(n-r)!)
Permutations: P(n,r) = n!/(n-r)!
Gamma Function: Extension of factorial to real numbers
Example: 5! = 120, C(10,3) = 120, P(10,3) = 720
Applications: Probability, statistics, discrete mathematics
7. Root Functions Free Online
Root calculations: Square roots, cube roots, nth roots with high precision
Root Functions Features:
Square Root: √x - most common root function
Cube Root: ∛x - third root of a number
nth Root: ⁿ√x - any root of a number
Complex Roots: Handling of negative numbers
Example: √16 = 4, ∛27 = 3, ⁴√81 = 3
Applications: Geometry, algebra, engineering calculations
8. Mathematical Constants Free Online
Important constants: π (pi), e (Euler's number), φ (golden ratio), and more
Mathematical Constants Features:
Pi (π): 3.14159... - ratio of circumference to diameter
Euler's Number (e): 2.71828... - base of natural logarithm
Golden Ratio (φ): 1.61803... - divine proportion
High Precision: Constants calculated to 15+ decimal places
Example: π ≈ 3.141592653589793, e ≈ 2.718281828459045
Applications: Geometry, calculus, number theory, physics
How to Use Free Online Scientific Calculator
Step 1: Select Scientific Function Category
Trigonometric: For sine, cosine, tangent calculations
Logarithmic: For natural and common logarithms
Exponential: For exponential and power functions
Hyperbolic: For hyperbolic functions
Inverse: For inverse trigonometric functions
Factorial: For combinatorial calculations
Root: For root calculations
Constants: For mathematical constants
Step 2: Enter Input Value
Enter the numerical value for calculation
Use decimal notation for precision
For angles: enter in degrees, radians, or gradians
For logarithms: enter positive numbers only
Check domain restrictions for each function
Step 3: Choose Specific Operation
Select the exact function from the dropdown
Options change based on function category
Each function has specific input requirements
Hover over options for additional information
Step 4: Configure Settings
Angle Unit: Degrees, radians, or gradians
Precision: Number of decimal places (2-12)
Result Format: Decimal, fraction, scientific notation
Display Options: Show steps, formulas, visual representations
Step 5: Calculate and Analyze
Click "Calculate" to perform the calculation
Review the result in multiple formats
Check calculation steps if enabled
Verify result using mathematical properties
Use "Clear" to start a new calculation
Applications of Free Online Scientific Calculator
In Academic Education
High School Mathematics: Trigonometry, algebra, pre-calculus
University Mathematics: Calculus, differential equations, linear algebra
Physics Courses: Mechanics, waves, thermodynamics, quantum physics
Chemistry Classes: Kinetics, equilibrium, thermochemistry
In Professional Research
Engineering: Structural analysis, signal processing, control systems
Scientific Research: Data analysis, statistical modeling, simulations
Medical Research: Biostatistics, pharmacokinetics, epidemiology
Economics: Financial modeling, econometrics, optimization
In Technology and Computing
Computer Science: Algorithm analysis, cryptography, machine learning
Software Development: Graphics programming, game development
Data Science: Statistical analysis, probability calculations
Artificial Intelligence: Neural networks, optimization algorithms
In Practical Applications
Architecture: Structural calculations, geometric design
Navigation: GPS calculations, celestial navigation
Astronomy: Orbital mechanics, distance calculations
Finance: Compound interest, risk analysis, derivatives