Arctan Calculator

This formula quantifies the angle whose tan value corresponds to the ratio of the length of the opposite side to the length of the adjacent side in a right triangle. The arctan formula is expressed as follows:

The inverse tangent calculator referred to as a arctan calculator, offers an simple and easy to use interface for calculating arctan values from a given ratio, allowing for easy visualization and computation of the arctan function and arctan graph. Arctan function also known as inverse tangent function, or tan⁻¹ function, returns the value of angle for which tan function is equal to the ratio of the opposite side of an angle to the adjacent side of a right-angled triangle. The inverse tangent calculator computes arctan values, making it a valuable tool for educational purposes, computer graphics and navigation.

The arctan function exhibits several key properties that define its behavior and are essential in various mathematical contexts. Here are its primary properties:
1)Non-Periodicity: The arctan function is not periodic. It does not repeat its values over regular intervals of x.
2)Domain: The domain of the arctan function is all real numbers, which means arctan can accept any real number as an input. Thus, -∞ < x < ∞.
3)Range: The range of arctan function is between -π/2 and π/2, which means output of arctan function is between -π/2 and π/2. Thus, -π/2 < arctan(x) < π/2.
4)Symmetry: The arctan function is an odd function, which means that arctan(-x) = -arctan(x). This symmetry implies that the graph of arctan is symmetric about the origin.
5)Asymptotes: The arctan function has horizontal asymptotes at π/2 and -π/2.

The arctan function has various practical applications, enabling accurate angle calculations based on slope and distance measurements. Here are some key applications:
• Surveying: Calculates slope angles and angles of elevation or depression from vertical and horizontal measurements.
• Road Designing: Computes angles of road curves and intersections to ensure smooth and safe traffic flow.
• Agriculture: Design efficient irrigation systems and manage land slopes effectively.
• Equipment Manufacturing: Determines angles for precise component placement and alignment.