1. What is the Cosine Function?

The cosine function is a fundamental trigonometric function that relates the adjacent side and hypotenuse of a right-angled triangle. It's widely used in geometry, physics, engineering, and many other fields.

2. How Does the Calculator Work?

The calculator uses the cosine formula:

Where:

• Adjacent Side — The side next to the angle θ
• Hypotenuse — The longest side of the right triangle

Explanation: The cosine value represents the ratio of the adjacent side to the hypotenuse in a right-angled triangle.

3. Importance of Trigonometric Functions

Details: Trigonometric functions like cosine are essential in mathematics, physics, engineering, computer graphics, and many scientific applications. They help in solving problems involving angles and distances.

4. Using the Calculator

Tips: Enter the length of the adjacent side and hypotenuse in the same units. Both values must be positive numbers, and the hypotenuse must be equal to or larger than the adjacent side.

5. Frequently Asked Questions (FAQ)

Q1: What is the range of cosine values?
A: The cosine function returns values between -1 and 1 for any angle.

Q2: How is cosine different from sine?
A: While cosine uses the adjacent/hypotenuse ratio, sine uses the opposite/hypotenuse ratio.

Q3: What units should I use for the sides?
A: Any consistent units can be used (cm, m, inches, etc.) as long as both sides use the same units.

Q4: Can I use this for non-right triangles?
A: No, this formula only works for right-angled triangles. For other triangles, you would need the Law of Cosines.

Q5: What if my hypotenuse is smaller than the adjacent side?
A: This is mathematically impossible in a right triangle. The hypotenuse is always the longest side.