1. What is Sine Function?

The sine function is a fundamental trigonometric function that relates the angle of a right triangle to the ratio of the length of the opposite side to the hypotenuse. It's periodic with a period of 2π radians (360°).

2. How Does the Calculator Work?

The calculator uses the mathematical sine function:

Where:

• \( \theta \) — Angle in degrees

Explanation: The calculator converts the input angle from degrees to radians, then calculates the sine value using PHP's built-in sin() function.

3. Importance of Sine Calculation

Details: The sine function is essential in mathematics, physics, engineering, and signal processing. It's used in wave analysis, harmonic motion, AC circuits, and many other applications.

4. Using the Calculator

Tips: Enter the angle in degrees (0-360 for most common cases). The calculator will return a unitless ratio between -1 and 1.

5. Frequently Asked Questions (FAQ)

Q1: What's the range of sine function?
A: The sine function returns values between -1 and 1 for all real numbers.

Q2: How is sine different from cosine?
A: Sine relates opposite/hypotenuse, while cosine relates adjacent/hypotenuse. They're phase-shifted by 90 degrees.

Q3: Can I input negative angles?
A: Yes, the calculator accepts any real number as input, including negative angles.

Q4: What's the period of sine function?
A: The sine function repeats every 360 degrees (2π radians).

Q5: Why is my sine value negative?
A: Sine is negative in the 3rd and 4th quadrants (180-360 degrees).