1. What is a Trig Ratio Calculator?

Definition: This calculator verifies the tangent trigonometric ratio by comparing the calculated tangent of an angle with the ratio of opposite to adjacent sides.

Purpose: It helps students and professionals validate trigonometric calculations and understand the relationship between triangle sides and angles.

2. How Does the Calculator Work?

The calculator uses the tangent formula:

Where:

• \( \theta \) — Angle in degrees (must be between 0° and 90°)
• opposite — Length of side opposite to angle θ (meters)
• adjacent — Length of side adjacent to angle θ (meters)

Explanation: The calculator computes both tan(θ) and the opposite/adjacent ratio, then compares them to verify the trigonometric relationship.

3. Importance of Trig Ratio Calculation

Details: Understanding trigonometric ratios is fundamental in geometry, physics, engineering, and navigation applications.

4. Using the Calculator

Tips: Enter any two values (two sides or one side and angle) to calculate the third. Angle must be less than 90°. Adjacent side cannot be zero.

5. Frequently Asked Questions (FAQ)

Q1: Why do the results sometimes not match exactly?
A: Small discrepancies may occur due to floating-point arithmetic and angle precision. Differences < 0.001 are considered matching.

Q2: What if I get a "division by zero" error?
A: The adjacent side cannot be zero in the tangent function. Ensure you enter a positive value for the adjacent side.

Q3: Can I use this for angles ≥ 90°?
A: No, this calculator is designed for right-angled triangles (0° < θ < 90°).

Q4: How precise are the calculations?
A: Calculations are precise to 4 decimal places, sufficient for most practical applications.

Q5: Can I calculate missing sides?
A: Yes, leave one side field blank (set to 0) and provide the other side and angle to calculate the missing side.