How to use the inverse tangent calculator?
Step 1 : Enter the number.
Step 2 : Click the Calculate button.
On clicking the calculate button, the inverse tangent will be shown.
Examples for the inverse tangent calculator
Q1. If value of x = 1,then find the inverse tangent value.
Solution : \tan^{-1}(1) = 45^\circ
Q2. If value of x = 10,then find the inverse tangent value.
Solution : \tan^{-1}(10) = 84.29^\circ
Inverse tangent calculator is a handy tool that helps you find the inverse tangent of a given value. It is useful in a wide range of fields, including engineering, physics, and mathematics. In this article, we will explore what an inverse tangent calculator is, how it works, and how you can use it to solve problems.
What is Inverse Tangent?
The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side of a right-angled triangle. In other words, it is the slope of a line that is perpendicular to the adjacent side. The inverse tangent, also known as the arctangent, is the angle whose tangent is a given value. It is denoted by tan⁻¹ or arctan.
For example, if the tangent of an angle is 0.5, the inverse tangent of 0.5 is the angle whose tangent is 0.5. In other words, the inverse tangent of 0.5 is the angle whose tangent is 1/2 or 26.57 degrees.
How does Inverse Tangent Calculator work?
An inverse tangent calculator uses trigonometric functions to find the inverse tangent of a given value. It takes an input value and calculates the angle whose tangent is equal to the input value. The output is in radians or degrees, depending on the mode of the calculator.
They have two modes: degree mode and radian mode. In degree mode, the output is in degrees, while in radian mode, the output is in radians. To use the inverse tangent calculator, you need to enter the value whose inverse tangent you want to find. The calculator then applies the arctangent function to the input value and displays the result.
For example, let’s say you want to find the inverse tangent of 0.5. You would enter 0.5 into the calculator, and the calculator would apply the arctangent function to 0.5 and display the result, which is approximately 26.57 degrees.
Uses of Inverse Tangent Calculator
Inverse tangent calculator is a useful tool in many fields, including engineering, physics, and mathematics. Here are some examples of how it can be used:
1. Finding the angle of elevation or depression
The inverse tangent calculator can be used to find the angle of elevation or depression. For example, if you know the height and distance of an object, you can use the inverse tangent calculator to find the angle of elevation.
2. Calculating the phase angle in AC circuits
In electrical engineering, the inverse tangent calculator is used to calculate the phase angle in AC circuits. The phase angle is the angle between the voltage and the current in an AC circuit.
3. Solving trigonometric equations
The inverse tangent calculator can be used to solve trigonometric equations. For example, if you are given the value of the tangent of an angle, you can use the inverse tangent calculator to find the value of the angle.
4. Calculating the slope of a line
The inverse tangent calculator can be used to calculate the slope of a line. In this case, the input values are the y-coordinate and the x-coordinate of two points on the line.
Conclusion
Inverse tangent calculator is a useful tool that can be used in many fields, including engineering, physics, and mathematics. It helps you find the angle whose tangent is a given value. The calculator uses trigonometric functions to calculate the inverse tangent and displays the result in radians or degrees, depending on the mode of the calculator. With the help of this tool, you can solve problems related to trigonometry and other fields that require the use of inverse tangent.
