1. What is Theta (θ)?

Theta (θ) represents an angle in a right triangle, calculated using the arctangent function of the ratio between the opposite side and adjacent side.

2. How Does the Calculator Work?

The calculator uses the arctangent function:

Where:

• \( \theta \) — Angle in degrees
• opposite — Length of the side opposite to the angle
• adjacent — Length of the side adjacent to the angle

Explanation: The arctangent function converts the ratio of opposite to adjacent sides into an angle measurement.

3. Importance of Angle Calculation

Details: Calculating angles is fundamental in trigonometry, physics, engineering, and navigation. It helps determine directions, slopes, and orientations.

4. Using the Calculator

Tips: Enter both opposite and adjacent side lengths in the same units. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What's the range of theta values?
A: The arctangent function returns values between -90° and +90°, but in right triangles, θ will always be between 0° and 90°.

Q2: What if the adjacent side is zero?
A: This would be a vertical line (90° angle), but our calculator requires both sides to be positive to avoid division by zero.

Q3: Can I use this for non-right triangles?
A: No, this specific calculation only works for right triangles. For other triangles, you'd need the Law of Cosines.

Q4: How accurate is the calculation?
A: The calculation is mathematically precise, though displayed with 2 decimal places for readability.

Q5: Can I calculate radians instead of degrees?
A: The calculator shows degrees, but you can multiply the result by π/180 to convert to radians if needed.