1. What is a Trig Function Calculator (Right Triangle)?

Definition: This calculator computes the angle θ in a right triangle using the cosine function based on the adjacent side and hypotenuse lengths.

Purpose: It helps students, engineers, and designers solve right triangle problems in mathematics, physics, and engineering applications.

2. How Does the Calculator Work?

The calculator uses the cosine formula:

Where:

• \( \theta \) — Angle in degrees
• adjacent — Length of side adjacent to angle θ (meters)
• hypotenuse — Length of the hypotenuse (meters)

Explanation: The calculator takes the ratio of adjacent to hypotenuse, applies the inverse cosine (arccos) function, and converts the result from radians to degrees.

3. Importance of Trigonometric Calculations

Details: Accurate trigonometric calculations are essential in construction, navigation, physics, and engineering for determining angles and distances.

4. Using the Calculator

Tips: Enter the adjacent side length and hypotenuse length in meters. The hypotenuse must be equal to or longer than the adjacent side.

5. Frequently Asked Questions (FAQ)

Q1: What if my hypotenuse is shorter than the adjacent side?
A: This is mathematically impossible in a right triangle. The hypotenuse is always the longest side.

Q2: Can I calculate other trig functions with this?
A: This calculator specifically calculates angles using cosine. We have separate calculators for sine and tangent functions.

Q3: How accurate are the results?
A: Results are accurate to 2 decimal places. For higher precision, use more decimal places in your inputs.

Q4: What units should I use?
A: The calculator uses meters, but any consistent unit will work as long as both measurements use the same unit.

Q5: Can I calculate side lengths if I know the angle?
A: This calculator works from sides to angle. Use our "Right Triangle Side Calculator" for angle-to-side calculations.