- #1
XYZ313
- 21
- 0
Can someone please let me know how to find x in
π/4=arctan(x+arctan(x+...)) ?
π/4=arctan(x+arctan(x+...)) ?
XYZ313 said:if I knew what "arctan(x+arctan(x+...))" equals to, I wouldn't be posting this thread...
The arctan equation is an inverse trigonometric function used to find the angle of a right triangle given the ratio of its sides. It is also known as the inverse tangent function and is denoted as arctan or tan-1.
To solve an arctan equation, you can use a scientific calculator or a trigonometric table. Take the inverse tangent of both sides of the equation to isolate the angle, and then use the calculator or table to find the angle in radians or degrees.
The arctan equation has two important properties: its range is -π/2 to π/2 (or -90° to 90°) and its principal value is always between -π/2 to π/2. It is also an odd function, meaning that arctan(-x) = -arctan(x).
The arctan equation has various applications in fields such as engineering, physics, and surveying. It is used to determine angles in right triangles, to find the slope of a line, and to solve problems related to forces and motion.
No, the arctan equation can only be used for right triangles. For non-right triangles, the inverse trigonometric functions of sine, cosine, and tangent (arcsin, arccos, and arctan) are used to find the angles.