Introduction to Tangent Calculator:
Tangent Calculator is an online tool that helps you find the tangent value of a given angle in a few seconds. It is used to simplify the process of finding angles and sides of the given right-angle triangle.
Our tan calculator is the best online source as it provides you with accurate solutions whenever you add a specific value to it to find the tangent without taking any help from you.
What is Tangent?
The tangent of an angle is also defined as the ratio of the y-coordinate(sine) to the x-coordinate (cosine) of the point where the angle intersects the circle on a triangle. The tangent angle is denoted by θ as tanθ.
It is an essential concept of geometry for solving right-angle triangles but it has other uses as well such as in engineering to find the force or angle of an object or in physics solving problems related to motion and force.
Formula of Tangent:
In trigonometry, the tangent is the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle in the given triangle. The formula behind the tangent calculator is given below,
$$ tan(\theta) \;=\; \frac{opposite}{adjacent} $$
How to Calculate Tangent?
To calculate the tangent value of an angle, the tangent solver uses the following process. In this process, you can see the trigonometric functions and understand their relationship with a right-angled triangle.
For right-angle triangle
Step 1:
First of all, the tangent equation calculator identifies the angle θ for which you want to calculate the tangent function.
Step 2:
For the angle θ in a right-angled triangle, you need the value of the opposite side and the adjacent side value of the angle θ.
Step 3:
Use the formula of tangent for calculating tangent value function,
$$ tan(\theta) \;=\; \frac{opposite}{adjacent} $$
Step 4:
Simplify it after adding the value in the tangent formula to get a solution.
To find the tangle angle θ value
Step 1:
The tan equation calculator begins by determining the given angle θ value for the tangent function.
Step 2:
Use this expression to find the angle value, by adding the angle θ value for a solution.
$$ tan(\theta) \;=\; \frac{sin \theta}{cos \theta} $$
Solved Example of Tangent:
An example of tangent is given below to let you understand the working process of the tangent calculator in easy steps.
Example: find the tangent value if,
$$ \theta \;=\; 45° $$
Solution:
$$ Given \theta \;=\; 45° $$
$$ Tan\; (45) \;=\; 1 $$
Example: for an angle θ of 30° in a triangle with:
$$ Opposite\; side \;=\; 3\; units $$
$$ Adjacent\; side \;=\; 5\; units $$
Solution:
The given value is,
θ = 30, Opposite side = 3 and adjacent side = 5 unit
The tangent trigonometric formula is,
$$ tan (\theta) \;=\; \frac{Opposite}{Adjacent} $$
Add the value to it and simplify it to get a solution.
$$ tan(30°) \;=\; \frac{3}{5} $$
$$ tan(30°) \;=\; \frac{3}{5} \;=\; 0.6 $$
How to Use Tangent Calculator?
The tan calculator has a user-friendly design that allows you to calculate tangent functions without any hurdles.
Before giving the input to the tangent solver, follow some instructions that will be very helpful for you during usage. These steps are:
- Enter the angle value of the tangent function in the input box.
- If you find the tangent value of the right angle triangle then add the sides value and the angle value in the input field.
- Review the given tangent value before hitting the calculate button of the tangent equation calculator to start the evaluation process.
- Click the “Calculate” button to get the result of your given tangent value problem.
- If you want to try our tan equation calculator for the first time, then you can use the load.
- example to learn more about its calculation methods.
- Click on the “Recalculate” button to get a new page for finding more example solutions of tangent function problems.
Outcome from Tan Calculator:
The calculator with tan gives you the solution to a given question when you add the input to it. It provides you with solutions in no time. It may be included as:
- Result Option:
When you click on the result option, then the tan 1 calc gives you a solution for the tangent value.
- Possible Steps:
Tangens calculator provides you with a step by step solution where all the calculation steps of the tangent function are mentioned.
Benefits of Tangent Solver:
The tan 1 calc provides you with multiple advantages whenever you use it to calculate the tangent trigonometric function problem and gives you a solution immediately. These features are:
- The calculator with tan is a free-of-cost tool that enables you to use it for free to find the tangent function problem solution without spending.
- It is an adaptable tool that can manage various types of tangent value problem solutions for the right-angle triangle.
- Our tan equation calculator helps you get a stronghold on the tangent function concept for a triangle when you use it for practice by solving more examples.
- It saves the time that you consume when calculating tangent value function.
- The tan calculator is a reliable tool that provides you with accurate solutions whenever you use it to calculate tangent value examples without any error.
- The tangent calculator provides the solution of tangent function without imposing any condition of sing-in, which means you can use this calculator multiple times whenever you use it.
