🎓 Mathematics • Trigonometry
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Cosine Calculator
Computes cosine of any angle in degrees or radians with unit circle coordinate values.
Unit Circle Angles:
Trigonometric Functions & Unit Circle Calculator
Angle = 45° = 0.7854 rad (≈ 0.25π)
Trigonometric Ratios & Unit Circle Coordinates
(cos θ, sin θ) = (0.7071, 0.7071)
Sinesin(θ) = 0.7071Exact: √2/2
Cosinecos(θ) = 0.7071Exact: √2/2
Tangenttan(θ) = 1Exact: 1
Cosecant (1/sin)csc(θ) = 1.4142
Secant (1/cos)sec(θ) = 1.4142
Cotangent (1/tan)cot(θ) = 1
What is the Cosine Function?
The cosine of an angle is the ratio of the adjacent side length to the hypotenuse in a right triangle.
Formula & Step-by-Step Calculation
cos(θ) = x / r
X-coordinate on a unit circle of radius 1.
Worked Step-by-Step Examples
Example 1
cos(0°)
Solution: 1
• cos(0°) = 1
Common Real-World & Academic Use Cases
- ✓ Vector dot products
- ✓ Acoustic phase shifts
- ✓ Mechanical vibrations
How to Use the Cosine Calculator
1
Enter Angle
Input angle value.
2
View Cosine
Inspect exact cosine value.
Frequently Asked Questions
Q: What is cos(90°)?
cos(90°) = 0 because the x-coordinate on the unit circle at 90° is 0.