Cos Calculator
Calculate the cosine of any angle in degrees or radians with step-by-step working.
Inputs
cos(θ)
0.5000000000
Angle (degrees)
60.000000°
Angle (radians)
1.04719755
Step by step
Convert to radians
60 degrees = 1.04719755 rad
Apply cos function
cos(1.04719755)
= 0.5
How it works
The cosine function returns the ratio of the adjacent side to the hypotenuse in a right triangle. For any angle θ, cos(θ) ranges from −1 to 1. cos(0°)=1, cos(90°)=0, cos(180°)=−1.
Formula
Cosine definition
cos θ = adjacent / hypotenuse
- θ
- The angle
- adjacent
- Side adjacent to θ
- hypotenuse
- Longest side
Frequently Asked Questions
What is cos(60°)?
cos(60°) = 0.5. Standard values: cos(0°)=1, cos(30°)≈0.8660, cos(45°)≈0.7071, cos(60°)=0.5, cos(90°)=0.
How are sin and cos related?
They are complementary: sin(θ) = cos(90° − θ). Also, sin²θ + cos²θ = 1 for all θ (the Pythagorean identity).