1. What is the Triangle Side Calculation?

This calculator computes the length of the opposite side in a right-angled triangle when you know the adjacent side and the angle between them. It's based on the tangent trigonometric function.

2. How Does the Calculator Work?

The calculator uses the tangent formula:

Where:

• \( \text{side\_opp} \) — The side opposite to the angle (units)
• \( \text{side\_adj} \) — The side adjacent to the angle (units)
• \( \text{angle} \) — The angle in radians between hypotenuse and adjacent side

Explanation: The tangent of an angle in a right triangle is equal to the ratio of the opposite side to the adjacent side.

3. Importance of Triangle Calculations

Details: These calculations are fundamental in trigonometry and have applications in physics, engineering, architecture, and computer graphics.

4. Using the Calculator

Tips: Enter the adjacent side length (must be positive) and the angle in radians (must be positive). The angle should be less than π/2 radians (90 degrees) for meaningful results.

5. Frequently Asked Questions (FAQ)

Q1: Can I use degrees instead of radians?
A: No, this calculator requires angle input in radians. Convert degrees to radians by multiplying by π/180.

Q2: What if my angle is 90 degrees?
A: The tangent of π/2 radians (90 degrees) is undefined, so the calculator won't provide meaningful results.

Q3: Does this work for non-right triangles?
A: No, this specific formula only applies to right-angled triangles.

Q4: What's the precision of the calculation?
A: Results are rounded to 4 decimal places for readability.

Q5: Can I calculate the adjacent side if I know the opposite?
A: Yes, you would rearrange the formula: \( \text{side\_adj} = \text{side\_opp} / \tan(\text{angle}) \).