1. What is Tangent Function?

The tangent of an angle is a trigonometric function that relates the ratio of the opposite side to the adjacent side in a right-angled triangle. For 1 radian, it calculates this ratio for an angle of approximately 57.2958 degrees.

2. How Does the Calculator Work?

The calculator uses the tangent function:

Where:

• \( \theta \) — Angle in radians (1 radian in this case)

Explanation: The function calculates the ratio of sine to cosine for the given angle.

3. Importance of Tangent Calculation

Details: Tangent is fundamental in trigonometry, physics, engineering, and many scientific fields. It's used in wave equations, slopes, periodic phenomena, and more.

4. Using the Calculator

Tips: The calculator is preset to calculate tan(1). Simply click "Calculate" to get the result.

5. Frequently Asked Questions (FAQ)

Q1: What is the value of tan(1)?
A: tan(1 radian) is approximately 1.557408, which is the ratio of sine(1) to cosine(1).

Q2: How does this differ from tan(1 degree)?
A: 1 radian equals about 57.2958 degrees, so tan(1°) would be much smaller (≈0.017455).

Q3: Where is tan(1) used in real applications?
A: It appears in physics calculations involving angles, engineering problems, and anywhere periodic functions are modeled.

Q4: What's the periodicity of the tangent function?
A: Tangent has a period of π radians (180°), repeating every π radians.

Q5: Are there special values for tangent?
A: Yes, for example tan(π/4) = 1, tan(π/2) is undefined, etc.