Cosine Calculator: Find Cosine of Angle in Degrees/Radians
Calculate the cosine of an angle instantly and visualize it on the unit circle. Enter angle in degrees or radians for quick cosine value.
Enter Angle to Calculate Cosine
Input your angle in degrees or radians and discover its cosine value.
Result
Cosine Value:
Unit Circle Visualization
Visual representation of the angle and its cosine on the unit circle.
What is Cosine?
In trigonometry, the cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse in a right-angled triangle. On the unit circle, the cosine of an angle is represented by the x-coordinate of the point where the terminal side of the angle intersects the circle. It's a fundamental function used across mathematics, physics, and engineering to describe periodic phenomena such as waves and oscillations. The cosine function ranges from -1 to 1.
Formula:
For an angle θ in a right triangle:
cos(θ) = Adjacent Side / Hypotenuse
Use Cases:
- Physics: Analyzing wave motion, optics, and mechanics.
- Engineering: Signal processing, electrical engineering, and structural analysis.
- Mathematics: Calculus, geometry, and complex analysis.
- Computer Graphics: Transformations, rotations, and lighting calculations.
Source: Wikipedia