To understand the values of cos(1), cos(2), cos(2π), and cos(3), we need to evaluate the cosine function at these points.
Cosine of 1: The value of cos(1) is approximately 0.5403. This value is derived from evaluating the cosine of 1 radian.
Cosine of 2: The value of cos(2) is approximately -0.4161. Similar to cos(1), this is computed for 2 radians.
Cosine of 2π: The value of cos(2π) is 1. This is because 2π radians represents a complete circle in trigonometric terms, returning to the starting point of the unit circle, where the cosine value is 1.
Cosine of 3: The value of cos(3) is approximately -0.9899, calculated for 3 radians.
In summary, the values are as follows:
- cos(1) ≈ 0.5403
- cos(2) ≈ -0.4161
- cos(2π) = 1
- cos(3) ≈ -0.9899
These evaluations show how the cosine function behaves at these specific angles in radians.