Trigonometry Calculator

Want to calculate the ratio of trigonometric functions? Try our trigonometry calculator to determine the angle of the right-angle triangle and solve various types of problems.

Trigonometric Function::
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Table of Contents:

Introduction to Trig Calculator:

Trig calculator is an online tool that helps you to find the ratio of trigonometric functions from the given problem. It is used to simplify the process of calculating the angle of the right-angle triangle.

Trigonometry Calculator with Steps

The trigonometry calculator online is an easy-to-use tool that allows you to solve various types of trigonometry problems without any difficulty and get precise solutions as per the given problem quickly and easily.

What is Trigonometry?

Trigonometry is a basic concept of geometry in which different trigonometric functions are involved which is used to find the side and angle of a right angle triangle. You can give any value for the trigonometric function to find the angle and sides.

It is used in different fields like geometry, astronomy, graphic designing, or physics to solve trigonometry function (sine, cosine, and tangent ) values.

Function of Trigonometry:

There are three basic trigonometric functions and three inverse functions. These functions along with their formulas that are used by the trig calculator to solve such complex problems is given below,

For sine:

$$ Sine (\theta) \;=\; \frac{opposite}{hypotenuse} $$

For cosine:

$$ cos (\theta) \;=\; \frac{adjacent}{hypotenuse} $$

For tangent:

$$ tan (\theta) \;=\; \frac{opposite}{adjacent} $$

How to Calculate the Trigonometry?

To calculate the trigonometry function values, some steps are set in the functionality of the calculator trigonometri and these steps can provide you the information about manual calculation. To calculate the sine, cosine, and tangent of an angle follow the given steps,

Step 1:

Determine the angle for which you need to find the trigonometric functions.

Step 2:

Choose the trigonometric function between sine, cosine, or tangent so that you think gives you a solution.

Step 3:

You can use the table of trigonometric function values or use the sohcahtoa calculator in radians or degrees.

To find the side of a right-angle triangle with the help of sine, cosine, and tangent functions, follow given steps,

Step 1:

Identify the given values of the right angle triangle. If you have two sides and one angle value then use these trigonometry functions and use the Pythagorean theorem for its solution.

Step 2:

Choose the trigonometric function as per the given sides of the triangle such as:

If you have an opposite side and hypotenuse value of a given triangle then use the sine function.

$$ sin (\theta) \;=\; \frac{opposite}{hypotenuse} $$

If you have the adjacent side and hypotenuse side then you can use the cosine function for the solution of right angle triangle.

$$ cos (\theta) \;=\; \frac{adjacent}{hypotenuse} $$

Similarly, if the required triangle has opposite and adjacent values then you should use the tangent function to get the third side of a right-angle triangle.

$$ tan (\theta) \;=\; \frac{opposite}{adjacent} $$

Step 3:

After choosing the right trigonometric function, put the value in it.

Step 4:

Perform calculation and simplify the given expression and you get the length value of an unknown side of a triangle.

Solved Example of Trigonometry:

The trig calculator can help you solve the side of a right-angle triangle but it’s important to understand the calculation process. So an example is given below,

Example:

To determine the height of a tree, a person walks to a point 30 feet from the base of the tree. She measures an angle of 57° 57° between a line of sight to the top of the tree and the ground.

Solution:

As the given angle is 57° and the adjacent side is 30 ft long. The opposite side is the unknown as a height value from the ground. As you know for adjacent or opposite side we use the tangent function such as:

$$ tan (\theta) \;=\; \frac{opposite}{adjacent} $$

Put the known value in the above formula and simplify it,

$$ tan(57°) \;=\; \frac{h}{30} $$

$$ h \;=\; 30 tan (57°) $$

$$ h \approx 46.2 $$

In trigonometric function, the opposite side and the adjacent side angle is the tangent.

How to Use Trig Calculator?

The trigonometry calculatorsin cos tan has a user-friendly design that enables you to calculate the angle and unknown side value for the right-angle triangle.

Before using our calculator trigonometri, you must follow some simple steps, so that you do not face any inconvenience during the calculation. These steps are:

  1. Enter the angle value of the trigonometric function input box.
  2. Enter the sides and angle value of the right angle triangle for the trigonometry function in the given input field.
  3. Review your input value before hitting the calculate button of the sohcahtoa calculator to start the evaluation process.
  4. Click the “Calculate” button to get the result of your given trigonometric function problem.
  5. Before using the soh cah toa calculator you should use the load example so that you can be assured that it provides an accurate solution.
  6. Click on the “Recalculate” button to get a refresh page for more solutions of trigonometry function problems for finding the unknown sides and angle values.

Results from Trigonometry Calculator with Steps:

The calculator trigonometry gives you the solution of a given trigonometry problem when you add the input function to it. It provides you with solutions in detail for finding the angle value of the trigonometric function instantly. It may contain as:

  • Result option:

The result option gives you a solution for the trigonometric function problems to find the angle value of the trigonometry function.

  • Possible Steps:

The trigonometric calculator provides you with a step-by-step solution where all the evaluation processes are in steps with the details of the trigonometry function problem.

Benefits of Using Calculator Trigonometri:

The trig.calc provides you with multiple benefits whenever you use it to calculate trigonometric function problems immediately. These benefits are:

  • The sohcahtoa calculator is a free-of-cost tool so you can use it anytime to find the value of a given trigonometric function problem in real-time.
  • It is a handy tool that allows you to get the solution to various types of trigonometric function problems.
  • You can try out our trigonometric calculator to practice new examples and get a stronghold on the trigonometric function concept.
  • Our soh cah toa calculator saves you time and effort from doing trigonometry question calculations and provides the angle value with the solution.
  • It is a reliable tool that provides you with accurate solutions whenever you use it for the evaluation of trigonometry value without any man-made mistakes.
  • The trig calculator provides the solution with a complete process in a stepwise method and you get clarity on the trigonometric function method.
Related References
Frequently Ask Questions

What is the difference between geometry and trigonometry?

Geometry and trigonometry are both branches of mathematics that deal with shapes, sizes, and the properties of space, but their focus is on different aspects with different methods.

  • Geometry:

Geometry is the study of the properties and relationships of points, lines, angles, surfaces, and solids like triangles, quadrilaterals, polygons etc. It has applications in the construction field in designing buildings and structures, art and design in engineering, etc.

  • Trigonometry:

Trigonometry specifically studies the relationships between the angles and sides of right triangles. It also involves functions that describe the periodic phenomena for sine and cosine. For trigonometric functions such as sine, cosine, and tangent, which relate angles to side lengths in right triangles. It is used in navigation, physics, computer graphics, etc.

What is a unit circle in trigonometry?

The unit circle is a concept in trigonometry. It provides a geometric way to understand trigonometric functions, especially sine and cosine functions. The unit circle allows you to define and analyze the trigonometric functions as it helps to understand the behavior of these functions from different angles. It is widely used in solving trigonometric problems and applications.

What is a periodic function in trigonometry?

A periodic function in trigonometry is a function that repeats its values at regular intervals or periods. It means that the function has an equal interval along its domain. The trigonometry functions like sine, cosine, tangent, secant, cosecant, and cotangent are fundamental examples of periodic functions. Each function has its specific periods and behaviors that are used in various scientific and engineering applications.

What is quadrant in trigonometry?

In trigonometry, the coordinate plane is divided into four parts that are called quadrants. Each quadrant represents a segment of the plane where the signs of the trigonometric functions (sine, cosine, tangent, etc.) are consistent. The quadrants are important for determining the values of trigonometric functions based on the angle's position.

First Quadrant (Quadrant I):

The angle range is between 0∘ to 90∘, in which sine and cosine are positive.

Second Quadrant (Quadrant II):

The angle range value is from 90∘ to 180∘ in which the sine value is positive, while cosine is negative.

Third Quadrant (Quadrant III):

The angle range is between 180∘ to 270∘ in this quadrant both sine and cosine are negative.

Fourth Quadrant (Quadrant IV):

The angle range value is from 270∘ to 360∘ where sine is negative, while cosine is positive.

What is radian in trigonometry?

A radian is a unit of angle that is used in geometry to make the calculation process smooth, especially in scientific calculations. It is based on the radius of a circle which provides a a systematic way of measuring angles for periodic functions.

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