Sine Calculator
Calculate the sine of any angle in degrees or radians.
Calculator
Enter Your Angle
Table of Contents
Concept
What is Sine?
The sine function is one of the primary trigonometric functions. In a right triangle, the sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.
Definition:
In a right triangle, sin(θ) = opposite/hypotenuse
Formula
Sine Formula
The sine function can be calculated using the following formula:
Formula:
sin(θ) = opposite/hypotenuse
Values
Common Sine Values
Special Angles
- sin(0°) = 0
- sin(30°) = 0.5
- sin(45°) = 0.7071
- sin(60°) = 0.8660
- sin(90°) = 1
Properties
- Range: [-1, 1]
- Period: 360° or 2π radians
- Odd function: sin(-θ) = -sin(θ)
- sin(θ + 360°) = sin(θ)
Applications
Applications of Sine
Physics Wave Motion
Sine functions are used to model wave motion, including sound waves, light waves, and water waves.
Engineering Signal Processing
Sine functions are fundamental in signal processing, electrical engineering, and communications systems.
Navigation GPS and Location
Sine functions are used in GPS systems and navigation to calculate distances and positions.
Tools
Trigonometry Calculators
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