1. What is the Sine Function?

The sine function is a fundamental trigonometric function that describes the ratio of the length of the opposite side to the hypotenuse in a right-angled triangle. For a given angle in radians, it returns a value between -1 and 1.

2. How Does the Calculator Work?

The calculator uses the PHP sin() function which calculates the sine of an angle in radians:

Where:

• \( x \) — Angle in radians

Explanation: The function calculates the sine value using mathematical algorithms that provide high precision results.

3. Importance of Sine Calculation

Details: Sine function is crucial in mathematics, physics, engineering, and signal processing. It's used in wave analysis, circular motion, alternating current calculations, and many other applications.

4. Using the Calculator

Tips: Enter any angle in radians (1 radian ≈ 57.2958 degrees). The default value calculates sin(1). The result is unitless and ranges between -1 and 1.

5. Frequently Asked Questions (FAQ)

Q1: What is the value of sin(1)?
A: The value of sin(1 radian) is approximately 0.841471.

Q2: How does this differ from calculating sine in degrees?
A: This calculator uses radians. To convert degrees to radians, multiply by π/180 (≈0.0174533).

Q3: What is the range of sine function?
A: The sine function always returns values between -1 and 1, inclusive.

Q4: What is the periodicity of sine function?
A: The sine function is periodic with a period of 2π radians (360 degrees).

Q5: Can I calculate inverse sine with this?
A: No, this calculates only the sine function. For inverse sine (arcsin), a different function is needed.