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. It's periodic and oscillates between -1 and 1.

2. How Does the Calculator Work?

The calculator uses the mathematical sine function:

Where:

• \( x \) — Angle in radians or degrees

Explanation: The calculator first converts degrees to radians if needed, then applies the sine function to the angle.

3. Importance of Sine Calculation

Details: Sine values are crucial in mathematics, physics, engineering, and signal processing for modeling periodic phenomena, wave functions, and circular motion.

4. Using the Calculator

Tips: Enter the angle value and select whether it's in degrees or radians. The calculator will return the sine value between -1 and 1.

5. Frequently Asked Questions (FAQ)

Q1: What's the range of sine values?
A: The sine function always returns values between -1 and 1, inclusive.

Q2: How accurate is this calculation?
A: The calculator uses PHP's built-in sin() function which provides high precision results.

Q3: What's the difference between degrees and radians?
A: Degrees range from 0-360 in a circle, while radians range from 0-2π. 180° equals π radians.

Q4: Can I calculate inverse sine with this?
A: No, this calculator only calculates the sine function. For inverse sine (arcsin), you would need a different calculator.

Q5: Why would I need to calculate sine values?
A: Sine calculations are essential for solving triangles, analyzing waveforms, signal processing, and many physics applications involving periodic motion.