1. What is Right Angle Trigonometry?

Right angle trigonometry deals with the relationships between the angles and sides of right-angled triangles. The tangent of an angle in a right triangle is the ratio of the length of the opposite side to the length of the adjacent side.

2. How Does the Calculator Work?

The calculator uses the tangent formula:

Where:

• \( \tan \theta \) — Tangent of angle θ (dimensionless)
• opposite — Length of side opposite to angle θ (meters)
• adjacent — Length of side adjacent to angle θ (meters)

Explanation: The calculator first computes the ratio of opposite to adjacent sides to find tan θ, then calculates the angle θ in degrees using the arctangent function.

3. Importance of Tangent Calculation

Details: Tangent calculations are fundamental in various fields including physics, engineering, architecture, and navigation. They help determine angles when side lengths are known or vice versa.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What is the range of values for tan θ?
A: tan θ can be any real number, from negative to positive infinity, depending on the angle θ.

Q2: What if my triangle isn't right-angled?
A: This calculator only works for right-angled triangles. For other triangles, you would need to use the Law of Sines or Cosines.

Q3: Why does the calculator show angle in degrees?
A: Degrees are more commonly used in practical applications. For radians, multiply degrees by π/180.

Q4: Can I use different units besides meters?
A: Yes, as long as both sides use the same unit, the tangent ratio will be the same.

Q5: What happens if I enter zero for either side?
A: The calculator requires positive values for both sides since division by zero is undefined.