Introduction to Unit Circle Calculator:
Unit Circle Calculator is an online tool that helps you find trigonometric function's angle based on the unit circles. It is used to simplify the process of finding the angle of the trigonometric functions sine, cosine, and tangent on a unit circle.
Unit circle solver is a trustworthy tool that provides you with the solution of the trigonometric function’s angle value at the unit circles. Therefore, your search ends here as our tool provides you with a solution to your given problem as per your input value without any error.
What is Unit Circle?
Unit circle is a circle whose radius value is 1 at the center of the origin of a coordinate plane in trigonometry calculus. It is a crucial process that allows you to find the angle value of sine, cosine, and tangent functions.
It helps you understand the behavior of corresponding coordinates on the unit circles and gives information about the trigonometric function changes after a certain period of interval in nature.
How to Calculate the Unit Circle?
To calculate angle values of the trigonometric function, the trigonometry circle calculator uses different types of processes. For this process, you can utilize it to solve different types of trigonometric angle values of the unit circle for various calculations. The following are the steps,
Step 1:
Identify the value of the given angle and the trigonometric function.
Step 2:
Convert Angles into degrees or radians as per the requirement of a given function. The unit circle formula from degrees to radians is,
$$ radian \;=\; degrees \times \frac{\pi}{180} $$
From radians to degrees:
$$ degrees \;=\; radians \times \frac{180}{\pi} $$
Step 3:
To find the coordinate value of each angle,determine the coordinates cos(θ), and sin(θ) values.
Step 4:
Lastly add the angle value in the trigonometric functions, if you have y coordinates value then use sine and if you have x coordinates value then use the cosine function. For both the sine and cosine function use the tangent function. But if the tangent is unknown then use the calc tangent for your help.
Solved Example of Unit Circle:
The unit circle solver uses the formula for unit circle to give you accurate solutions. However, it's essential to understand how to apply the unit circle formula. So, an example is given below.
Example: Find the sine and Cosine of 135°
Solution:
The given angle value for sine and cosine functions is 135 degrees. Convert the degree into radian angle values such as,
$$ 135° \;=\; \frac{3 \pi}{4} radians $$
As the angle value is 135 degrees that means it is at the second quadrant in which the sine is positive but the cosine function is negative. Find the coordinates values such as
$$ cos(135°) \;=\; cos(180° - 45°) \;=\; -cos(45°) \;=\; - \frac{\sqrt{2}}{2} $$
Sine of 135°:
$$ sin(135°) \;=\; sin(180° - 45°) \;=\; sin(45°) \;=\; \frac{\sqrt{2}}{2} $$
To calculate unit circle with tangent,
$$ tan(135°) \;=\; \frac{sin(135°)}{cos(135°)} $$
$$ \frac{sin(135°)}{cos(135°)} \;=\; \frac{\frac{\sqrt{2}}{2}}{-\frac{\sqrt{2}}{2}} \;=\; -1 $$
How to Use Unit Circle Solver?
The trigonometry circle calculator has an easy-to-use interface, so you can easily use it to evaluate the given unit circles value problem solution. Before adding the input for the solutions of given unit circle method problems, you must follow some simple steps. These steps are:
- Enter the value of the trigonometric function (unit circle method) in the unit circle converter’s input field.
- Recheck your input (unit circles angle value) before hitting the calculate button of unit circle calculator to start the calculation process.
- Click on the “Calculate” button to get the desired result of your given unit circle problem.
- If you are trying our terminal point calculator to check its solution accuracy, use the load example.
- Click on the “Recalculate” button to get a new page for solving more unit circles angle value questions.
Final Result of Trigonometry Circle Calculator:
Unit circle converter gives you the solution to a given trigonometric function angle value on a unit circle problem when you add the input value in it. It may contain as:
- Result Option:
The result option gives you a solution to unit circle angle value questions.
- Possible Step:
When you click on the possible steps option then the unit circle solver provides you with the solution to the unit circle angle value problem where steps are included.
Advantages of Using Terminal Point Calculator:
Unit circle graph calculator gives you multiple advantages whenever you use it to calculate angle value problems based on the unit circle method to get its solution. These advantages are:
- Our calculator saves the time and effort that you consume in finding angle values for trigonometric functions on unit circle questions and gives solutions in a few seconds.
- Unit circle coordinates calculator is a free-of-cost tool that provides you with a solution for a given angle value of the unit circles method to find the angle value on the unit circle without paying a single penny.
- The calculator provides correct answers when computing trigonometric functions on unit circles by minimizing errors that can occur in manual calculation.
- Unit circle calculator is an adaptive tool that allows you to find the angle value in this calculator without any limit.
- You can use this calculator for practice to get familiar with this concept easily when you use it multiple times to solve examples of the angle value for the unit circle problem.
- Unit circle point calculator is a trustworthy tool that provides you with precise solutions as per your angle value for trigonometric function on unit circles.
