MATH CALCULATOR
Tan Calculator
Calculate tangent values quickly and easily with our Tan Calculator.
What is the Tan Calculator & How does it work?
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 is a fundamental trigonometric function used in various fields such as physics, engineering, and navigation.
The tangent function is periodic with a period of Ο radians (180 degrees), and it has vertical asymptotes at odd multiples of (frac{Ο}{2}) radians (90, 270, etc.). Understanding the tangent function helps in solving problems related to angles and slopes.
tan(theta) = frac{opposite}{adjacent}
theta = angle in radians or degrees
Parameters
Resultβ
Frequently Asked Questions
How do I use the Tan Calculator?
Enter the angle in either radians or degrees into the input field and click ‘Calculate’ to get the tangent value.
What is the tangent of an angle?
The tangent of an angle in a right triangle is the ratio of the length of the opposite side to the adjacent side.
Can I use degrees or radians with this calculator?
Yes, you can input angles in either degrees or radians. Just select your preferred unit before calculating.
What are some common uses of the tangent function?
The tangent function is used in various fields such as physics, engineering, and navigation to solve problems involving angles and distances.
What happens if I input an angle like 90 degrees or Ο/2 radians?
At these angles, the tangent function has a vertical asymptote, meaning it approaches infinity. The calculator will show an error for these inputs.
How is the tangent function periodic?
The tangent function is periodic with a period of Ο radians (180 degrees), meaning tan(ΞΈ) = tan(ΞΈ + nΟ) for any integer n.
Can I use this calculator for negative angles?
Yes, you can input negative angles. The tangent function is defined for negative angles and will return the appropriate value based on the angle’s position on the unit circle.
Results are for informational purposes only and do not constitute professional advice.