1. What is the 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 degrees) and ranges between -1 and 1.

2. How Does the Calculator Work?

The calculator uses the mathematical sine function:

Where:

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

Explanation: The calculator can accept input in either degrees or radians and automatically converts degrees to radians before calculation if needed.

3. Importance of Sine Calculation

Details: The sine function is crucial 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 value and select whether it's in degrees or radians. The calculator will compute the sine of the angle, with the result always being a unitless value between -1 and 1.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between degrees and radians?
A: Degrees divide a circle into 360 parts, while radians are based on the radius of the circle (2π radians = 360 degrees). Most mathematical functions use radians.

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

Q3: What's the period of the sine function?
A: The sine function has a period of 2π radians (360 degrees), meaning sin(θ) = sin(θ + 2πn) for any integer n.

Q4: How accurate is this calculation?
A: The calculation uses PHP's built-in sin() function, which is highly accurate for most practical purposes.

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