1. What is Tangent Function?

The tangent function is a fundamental trigonometric function that relates the opposite and adjacent sides of a right triangle. It's defined as the ratio of the length of the opposite side to the length of the adjacent side relative to a specific angle in the triangle.

2. How Does the Calculator Work?

The calculator uses the tangent formula:

Where:

• \( \theta \) — Angle in degrees
• Opposite — Side opposite to the angle θ
• Adjacent — Side adjacent to the angle θ

Explanation: The calculator computes both the tangent value and the corresponding angle in degrees using the inverse tangent function.

3. Importance of Tangent Calculation

Details: Tangent calculations are essential in various fields including engineering, physics, architecture, and navigation. They help determine angles, heights, distances, and slopes in right triangle problems.

4. Using the Calculator

Tips: Enter the lengths of the opposite and adjacent sides in meters. Both values must be positive numbers. The calculator will compute both the tangent ratio and the corresponding angle.

5. Frequently Asked Questions (FAQ)

Q1: What is the range of tangent values?
A: Tangent values range from negative infinity to positive infinity, with asymptotes at 90° and 270°.

Q2: Can I use different units of measurement?
A: Yes, as long as both measurements use the same units. The calculator will work with any consistent unit system.

Q3: What if my triangle is not right-angled?
A: The tangent function only applies to right triangles. For other triangles, you'll need to use different trigonometric approaches.

Q4: How accurate are the results?
A: Results are accurate to 4 decimal places for the tangent value and 2 decimal places for the angle measurement.

Q5: Can I calculate the hypotenuse with this calculator?
A: No, this calculator specifically calculates tangent values and angles. You would need the Pythagorean theorem to calculate the hypotenuse.