1. What Are Trigonometric Functions?

Trigonometric functions (sine, cosine, tangent) relate angles of a right triangle to ratios of its sides. These functions are fundamental in mathematics, physics, engineering, and many other fields.

2. Values for 1 Degree

The trigonometric values for 1 degree are:

These values are calculated using the unit circle definition of trigonometric functions, where 1 degree equals π/180 radians.

3. Importance of These Values

Details: While 1° seems like a small angle, its trigonometric values are important in precise calculations, small angle approximations, and when working with very fine measurements in fields like astronomy, surveying, and mechanical engineering.

4. Using the Calculator

Tips: This calculator provides the exact trigonometric values for 1 degree. The angle is fixed at 1° to provide the most precise values possible for this specific angle.

5. Frequently Asked Questions (FAQ)

Q1: Why are these values important?
A: They serve as reference values for small angles and are used in many scientific and engineering calculations involving small angle approximations.

Q2: How accurate are these values?
A: The values are calculated to 9 decimal places, which is sufficient for most practical applications.

Q3: Can I calculate these values for other angles?
A: This calculator is specifically for 1°, but the same trigonometric functions can be used for any angle.

Q4: Why is cos(1°) so close to 1?
A: For very small angles, the cosine function approaches 1, as the adjacent side of the triangle becomes nearly equal to the hypotenuse.

Q5: What's the relationship between sin(1°) and tan(1°)?
A: For small angles (in radians), sin(x) ≈ tan(x) ≈ x. At 1° (0.0174533 radians), they are very close in value.