xXOfNiRXx said:How do you go about finding the arctangent of an unfamiliar number. Example, arctan (-2)? I think it's in the direction of half-angles and double angels, but how do I get the angle to start with the formulas in the first place?
Thanks in advance!
Arctangent is a mathematical function that calculates the angle whose tangent is a given number. It is also known as inverse tangent and is denoted by tan-1.
To find the arctangent of an unknown number, you can use a scientific calculator or a table of values. Alternatively, you can use the formula arctan(x) = tan-1(x) = y, where x is the unknown number and y is the arctangent value.
The range of arctangent values is between -π/2 to π/2 radians or -90° to 90°. This means that the output of the arctangent function will always be within this range.
Yes, the arctangent value can be negative. In fact, it is negative for any input that is in the third or fourth quadrant of the unit circle, which corresponds to angles between 180° and 360° or -180° and 0°.
The arctangent function is the inverse of the tangent function. This means that if you know the arctangent value, you can find the angle whose tangent is the given number. Similarly, if you know the angle, you can find the tangent value using the tangent function.