1. What are Logarithm and Sine Functions?

The logarithm (log) is the inverse function to exponentiation, while the sine (sin) is a trigonometric function of an angle. Both are fundamental mathematical functions with wide applications in science and engineering.

2. How Does the Calculator Work?

The calculator computes either:

Where:

• \( x \) — Input value (must be positive for logarithm)
• \( \log(x) \) — Natural logarithm (base e)
• \( \sin(x) \) — Sine function (x in radians)

Explanation: The calculator performs the selected mathematical function on the input value.

3. Importance of These Functions

Details: Logarithms are essential in many areas of science, while sine functions are crucial in physics, engineering, and signal processing.

4. Using the Calculator

Tips: Enter a positive value for logarithm calculations. For sine, the input is in radians (multiply degrees by π/180 to convert).

5. Frequently Asked Questions (FAQ)

Q1: What base is used for the logarithm?
A: This calculator uses natural logarithm (base e, approximately 2.71828).

Q2: Can I calculate logarithms of negative numbers?
A: No, logarithms are only defined for positive real numbers.

Q3: Is the sine function input in degrees or radians?
A: The input is in radians. To convert degrees to radians, multiply by π/180.

Q4: What is the range of sine function output?
A: The sine function returns values between -1 and 1 for all real inputs.

Q5: How precise are the calculations?
A: Results are calculated with PHP's built-in functions and displayed with 6 decimal places.