1. What is Right Triangle Trigonometry?

Definition: The study of relationships between angles and sides in right-angled triangles.

Purpose: Used to calculate unknown sides or angles in right triangles when certain measurements are known.

2. How Does the Calculator Work?

The calculator uses trigonometric functions:

Where:

• \( \theta \) — Angle (degrees)
• opposite — Side opposite to angle θ (meters)
• adjacent — Side adjacent to angle θ (meters)

Explanation: Enter any two values (two sides or one side and angle) to calculate the remaining values.

3. Importance of Right Triangle Calculations

Details: Essential for construction, navigation, engineering, and physics problems involving right angles.

4. Using the Calculator

Tips:

• Enter opposite and adjacent sides to calculate the angle
• Enter one side and angle to calculate the other sides
• Angle must be between 0-90 degrees

5. Frequently Asked Questions (FAQ)

Q1: What if I know the hypotenuse instead?
A: Use sine (opp/hyp) or cosine (adj/hyp) functions instead of tangent.

Q2: How precise are the calculations?
A: Results are accurate to 3 decimal places for sides and 2 for angles.

Q3: Can I use this for non-right triangles?
A: No, you would need the Law of Sines or Cosines for oblique triangles.

Q4: What units are used?
A: All lengths are in meters, angles in degrees.

Q5: Why does angle have to be less than 90°?
A: Because in a right triangle, one angle is always 90° and the other two must be acute.