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