1. What is Tangent Function?

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. It's one of the primary trigonometric functions.

2. How Does the Calculator Work?

The calculator uses the tangent function:

Where:

• \( \theta \) — Angle in degrees
• The function converts degrees to radians internally

Explanation: The tangent function is periodic with period π radians (180°), and undefined at 90° and 270°.

3. Importance of Tangent Calculation

Details: Tangent is widely used in mathematics, physics, engineering, and navigation for solving problems involving right triangles and periodic phenomena.

4. Using the Calculator

Tips: Enter angle in degrees (0-360). The calculator will return the dimensionless tangent value. Note that tan(90°) and tan(270°) are undefined.

5. Frequently Asked Questions (FAQ)

Q1: What is the range of tangent values?
A: Tangent values range from -∞ to +∞, with asymptotes at 90° and 270°.

Q2: How is tangent different from sine and cosine?
A: While sine is opposite/hypotenuse and cosine is adjacent/hypotenuse, tangent is opposite/adjacent.

Q3: What are practical applications of tangent?
A: Used in calculating heights of buildings, angles in navigation, signal processing, and more.

Q4: Why does my calculator return very large numbers near 90°?
A: As the angle approaches 90°, tangent approaches infinity. Small rounding in angle measurement leads to large tangent values.

Q5: Can I calculate inverse tangent with this?
A: No, this calculates tangent of an angle. For inverse tangent (arctangent), you would need a different calculator.