Tan Inverse Calculator

$\color{red} \bold{Related \space Calculators}$

Sin inverse
Cos inverse
Cot inverse
Sec inverse
Cosec inverse
Calculate Tan value
Hyperbolic Tan value
Inverse Hyperbolic Tan value

$\bold{Table \space of \space Content}$

• 1. Introduction to the Tan inverse calculator
• 2. What is the Formulae used & conditions required ?
• 3. How do I find the Tan inverse for a given value ?
• 4. Why choose our Tan inverse Calculator?
• 5. A Video for explaining this concept
• 6. How to use this calculator ?
• 7. Solved Examples
• 8. Frequently Asked Questions (FAQs)
• 9. What are the real-life applications?
• 10. Conclusion

1. Introduction to Tan inverse calculator

Embark on a journey into trigonometry as we explore the tan inverse function, often denoted as $tan^{-1}$ or arctan. This blog aims to unravel the mysteries behind finding the tan inverse value for a given angle, providing insights into its application and relevance.
$\bold{Definition}$
Tan inverse is the inverse function of the tangent trigonometric function. In simple terms, it helps us find the angle whose tangent is a given value. ​

2. What is the Formulae used & conditions required?

$\bold{Formula \space Used}$
For an angle θ in degrees or radians: tan Angle whose tangent is $tan^{−1}$(θ) = Angle whose tangent is θ
$\bold{Domain \space and \space Range}$
The domain of tan inverse is all real numbers R.
The range of tan inverse is from $(-\frac{\pi}{2}$, $\frac{\pi}{2})$ in radians or (-$90^o$, $90^o$).

$\bold{Table \space of \space Values}$
Here's a quick reference for tangent values:

Tan Value	Tan$^{-1}(\theta$)
0	$0^o$
1	$\frac{\pi}{4}$ or $45^o$
$\sqrt{3}$	$\frac{\pi}{3}$ or $60^o$

3. How do I calculate the tan inverse for a given value?

Determine the tangent value for which you want to find the angle.
Use the tan inverse formula: $tan^{−1}(θ)$ = Angle whose tangent is θ.
Plug the tangent value into the formula and evaluate to find the angle.
Ensure you use the correct unit, whether degrees or radians, for the result.

4. Why choose our tan inverse for a given value calculator?

$\bold{Easy \space \space to \space Use}$
Our calculator page provides a user-friendly interface that makes it accessible to both students and professionals. You can quickly input your square matrix and obtain the matrix of minors within a fraction of a second.

$\bold{Time \space Saving \space By \space automation}$
Our calculator saves you valuable time and effort. You no longer need to manually calculate each cofactor, making complex matrix operations more efficient.

$\bold{Accuracy \space and \space Precision}$
Our calculator ensures accurate results by performing calculations based on established mathematical formulas and algorithms. It eliminates the possibility of human error associated with manual calculations.

$\bold{Versatility}$
Our calculator can handle all input values like integers, fractions, or any real number.

$\bold{Complementary \space Resources}$
Alongside this calculator, our website offers additional calculators related to Pre-algebra, Algebra, Precalculus, Calculus, Coordinate geometry, Linear algebra, Chemistry, Physics, and various algebraic operations. These calculators can further enhance your understanding and proficiency.

5. A video based on the concept of how to find the tan inverse for a given value.

6. How to use this calculator

This calculator will help you find a given value's tan inverse.
In the given input boxes, you have to input the value.
After clicking on the Calculate button, a step-by-step solution will be displayed on the screen.
You can access, download, and share the solution.

7. Solved Example

$\bold{Question:1}$
Find the value of tan$^{-1}(\frac{1}{\sqrt{3}})$ ?
$\bold{Solution}$
tan$^{-1}(\frac{1}{\sqrt{3}})$ = $\frac{\pi}{6}$ or $30^o$

$\bold{Question:2}$
Find the value of tan$^{-1}(\frac{-1}{\sqrt{3}})$ ?
$\bold{Solution}$
tan$^{-1}(\frac{-1}{\sqrt{3}})$ = -tan$^{-1}(\frac{1}{\sqrt{3}})$ = $\frac{-\pi}{6}$ or $-30^o$

8. Frequently Asked Questions (FAQs)

Can tan inverse produce negative values?

tan inverse can produce positive and negative values depending on the input.

Is tan inverse the same as arctan?

Yes, tan inverse is often denoted as $tan^{-1}$ or arctan.

What is the tan inverse of 0?

The tan inverse of 0 is 0.

Does tan inverse have a periodic nature?

Yes, tan inverse is periodic with a period of π.

In what real-life scenarios is tan inverse used?

Tan inverse finds applications in physics, engineering, and computer science, particularly in calculating angles and rotations.

9. What are the real-life applications?

In robotics, the tan inverse is crucial for calculating the angles of joints in robotic arms, ensuring precise and controlled movements.

10. Conclusion

Navigating the tan inverse function opens doors to understanding angles from a different perspective. Its simplicity and practical applications make it an indispensable tool in various fields. As we demystify the process of finding the inverse values, we gain valuable insights into its significance in solving real-world problems involving angles and rotations. Whether in engineering or mathematics, tan inverse proves to be a guiding light, empowering us to navigate the complexities of trigonometry with confidence.

This blog is written by Neetesh Kumar

If you have any suggestions regarding the improvement of the content of this page, please write to me at My Official Email Address: [email protected]

$\fcolorbox{black}{lightpink}{\color{blue}{Click here to Ask any Doubt}}$
Are you Stuck on homework, assignments, projects, quizzes, labs, midterms, or exams?
To get connected to our tutors in real time. Sign up and get registered with us.