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 360° (2π radians) and ranges between -1 and 1.

2. How Does the Calculator Work?

The calculator uses the sine function:

Where:

• \( \theta \) — Angle in degrees
• opposite side — Side opposite to angle θ
• hypotenuse — Longest side of right triangle

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

3. Importance of Sine Calculation

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

4. Using the Calculator

Tips: Enter the angle in degrees (0-360). The calculator will return a unitless value between -1 and 1 representing the sine of that angle.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between degrees and radians?
A: Degrees divide a circle into 360 parts, while radians use 2π (about 6.283). The calculator automatically converts degrees to radians.

Q2: What are the maximum and minimum values of sine?
A: The sine function always returns values between -1 and 1 inclusive.

Q3: What is the period of the sine function?
A: The sine function repeats every 360° (2π radians).

Q4: How accurate is this calculation?
A: The calculation uses PHP's built-in functions which are very accurate for typical applications.

Q5: Can I calculate inverse sine with this?
A: No, this calculator only computes sine. For inverse sine (arcsin), you would need a different calculator.