Tan Inverse Calculator

If you want to evaluate the inverse tangent function value then our tan inverse calculator is only for you. To calculate the arctan inverse value, put data in the input field and get your solution.

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Introduction to Tan Inverse Calculator:

Tan inverse calculator is an online tool that helps you to find the arc tan function value in less than a minute. It is used to compute the angle whose tangent value is a given number with the help of a trigonometric inverse tangent angle table.

Tan Inverse Calculator with Steps

Our inverse tan calculatoris the best tool for students, teachers, and professionals as you can give different types of input values to find the angle value of the inverse tangent and it will give you a solution without any error quickly and easily.

What is the Arctan Function?

Arctan is an inverse trigonometric function that is used to determine the angle whose tangent value is given. It is the inverse function of tangent. It is denoted as arctan⁡(x), tan⁻¹(x), or inverse tangent where x is a real number that represents the tangent of the angle.

It is a periodic function whose domain is between (∞,-∞) and range is between (𝜋/2,-𝜋/2). It has many applications in mathematical geometry, physics, and engineering fields.

Formula of Arctan Function:

The formula of the arctan function consists of the adjacent side and opposite side of a triangle which is denoted with a and b respectively and 𝜃 is the angle whose value is evaluated. The formula behind the tan inverse calculator is,

$$ tan(\theta) \;=\; \frac{a}{b} $$

$$ \theta \;=\; arctan (\frac{a}{b}) $$

How to Calculate Arctan Function?

The arctan calculator uses the basic value of the arctan function. For the calculation of the arctangent function (arctan⁡(x)) you need to know whether your given trigonometric function is periodic or not.

As the tangent is the periodic function it has its range between (𝜋/2,-𝜋/2). Here’s a step-by-step guide for finding arctan⁡(x) through the approximation method:

Step 1:

The inverse tan calculator identifies the value of x for which you need to find arctan⁡(x).

Step 2:

Put the value of x into the arctan(x) to get the value of the tangent angle.

Step 3:

You can use the tangent calculator to find the tangent value of arctan x as a solution.

Solved Example of Arctan Function:

The Inverse tangent calculator can help you to calculate arctangent. But it's important for you to understand the manual calculation process. So, here is a solved example of the inverse tangent function given.

Example:

Find the arctan value at x = 1/2?

Solution:

Given that x=1/2

$$ x \;=\; tan \theta $$

$$ \theta \;=\; arctan(x) $$
$$ Put\; x \;=\; \frac{1}{2} $$

$$ \theta \;=\; arctan(\frac{1}{2}) $$

$$ \theta \;=\; 0.4636 $$

How to Use Inverse Tan Calculator?

Tan inverse calculator has a user-friendly interface that makes it easy for you to understand the evaluation of inverse tangent problems. Follow some instructions that are given as:

Enter the value of x at which you want to find the inverse tangent function in the input field of tan to the negative 1 calculator.
Recheck the given arctan problem before hitting the calculate button to start the evaluation process of inverse tangent calculator.
Click the “Calculate” button to get the result of your given arc tan problem value.
If you are trying our tan to the arctan calculator for the first time then you can use the load example to learn more about this method.
Click on the “Recalculate” button to get a new page for finding more example solutions of arc tan value problems.

Final Result of Arctan Calculator:

The inverse tan calculator gives you the solution from a given inverse tangent value problem when you add the input into it that may contain as:

Result Option:

The result option gives you a solution to the arc tan value problem.

Possible Steps:

This option will provide you with a step-by-step solution where all the calculations of the arc tan function process are given in steps.

Uses of Using Inverse Tangent Calculator:

Tan to the negative 1 calculator provides you with many useful features that help you to calculate inverse tangent problems as it gives you solutions. These features are:

It is a free tool so you can use it for free to find the Arctan problem with solutions without paying anything.
Tangent inverse calculator is a manageable tool that can manage various types of inverse tangent function problems and give its solution.
Our tool helps you to get conceptual clarity for the inverse tangent process when you use it for solving more examples.
Inv tan calculator saves the time that you consume on the calculation of inverse tangent problems.
It is a reliable tool that provides you with accurate solutions whenever you use it to calculate the inverse tangent value problem without any mistakes.
Arctangent calculator provides the solution without imposing any condition of signup after two to three usages of the inverse tangent function.

Related References

How would you define arctan function?
Explain the evaluation process of arctan function:
Give some examples of arctan function:
Give an overview of arctan function?

Frequently Ask Questions

What is the arctan of -1?

The value of arctan⁡(−1) is the angle whose tangent value is -1. As the tangent is a periodic function that means it again reverses back to its position so the angle value may be positive or negative. Therefore,

$$ arctan⁡(−1) \;=\; \frac{−π}{4} $$

$$ arctan⁡(−1) \;=\; −45 $$

What is the domain of arctan?

The domain of the arctangent function, denoted as arctan⁡(x) has the domain of the set of all real numbers. This means you can input any real number into the arctangent function and get a valid result.

What is arctan x equal to?

The arctangent function is denoted as tan⁻¹(x) as it represents the angle whose tangent value is x value. Mathematically, if you have an angle θ such that:

$$ tan(θ) \;=\; x $$

$$ θ \;=\; arctan\; (x) $$

What if the arctan denominator is zero?

If the arctangent function denominator becomes zero, then it leads to a special case which typically means you're dealing with a special case in which the tangent function itself becomes an undefined function at specific points.

What is arctan 0 in deg?

The value of arctan⁡(0) in degrees is zero the given value of tangent in x.

$$ So:\; x \;=\; tan\; θ $$

Rewrite the above expression

$$ θ \;=\; arctan\; x $$

$$ As\; x \;=\; 0\; then, $$

$$ θ \;=\; arctan(0) $$

$$ θ \;=\; 0 $$

How to calculate arctan ¾?

To calculate arctan⁡(3/4), you have the given value is 3/4, then angle value is:

$$ θ \;=\; arctan ⁡(\frac{3}{4}) $$

$$ θ \;=\; arctan⁡(0.75)\; as\; \frac{3}{4} \;=\; 0.75 $$

$$ θ \;=\; 36.87°\; (in\; degree) $$

$$ θ \;=\; 0.6435\; (in\; radians) $$

Amanda Jepson

Last Updated February 21, 2024