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Trig Exact Value Calculator + Online Solver With Free Easy Steps

The online Trig Exact Value Calculator is a calculator that allows you to find the exact trigonometric value of a function.

The Trig Exact Value Calculator is a powerful tool used by mathematicians and scientists to quickly help them find trigonometric values and use them in different applications.

What Is a Trig Exact Value Calculator?

The Trig Exact Value Calculator is an online tool that helps you find the exact value of a trigonometric function.

The Trig Exact Value Calculator needs two inputs to work; the trigonometric function and the angle. This allows the calculator to calculate the values and display their results quickly.

How To Use a Trig Exact Value Calculator?

To use the Trig Exact Value Calculator, we only need to input our values in the calculator and click the “Submit” button. 

The detailed step-by-step instructions on how to use the Trig Exact Value Calculator are given below:

Step 1

First, you enter the trigonometric function into the Trig Exact Value Calculator. The calculator allows you to use all the trigonometry functions available.

Step 2

After you enter the trigonometric function in the Trig Exact Value Calculator, you proceed to enter the angle of the line. The angle should be kept in radian form.

Step 3

After you input all the needed information into the calculator, you click the “Submit” button present on the Trig Exact Value Calculator. The calculator quickly displays the results and shows you the exact trigonometric result. 

How Does a Trig Exact Value Calculator Work?

The Trig Exact Value Calculator works by taking in the inputs and computing the exact trigonometric value of the angle. The Trig Exact Value Calculator works by using the following general formulas:

\[ \sin{\theta} = \frac{\text{Perpendicular}}{\text{Diagonal}} \]

\[ \cos{\theta} = \frac{\text{Base}}{\text{Diagonal}} \]

\[ \tan{\theta} = \frac{\text{Perpendicular}}{\text{Diagonal}} \]

\[ \sec{\theta} = \frac{\text{Diagonal}}{\text{Base}} \]

\[ \cot{\theta} = \frac{\text{Base}}{\text{Perpendicular}} \]

What Is Trigonometry?

Trigonometry is the study of the relationship between the ratios of the sides of a right-angled triangle and their angles. The trigonometric ratios used to examine this relationship are sine, cosine, tangent, cotangent, secant, and cosecant

Trigonometry is a 16th-century Latin derivative of the Greek mathematician Hipparchus’ notion.

Trigonometry fundamentals deal with angle measurement and angle-related difficulties. Trigonometry has three fundamental functions: sine, cosine, and tangent. Other essential trigonometric functions can be derived from these three fundamental ratios or functions: cotangent, secant, and cosecant. These functions are the foundation for all the vital ideas addressed in trigonometry.

What Are Trigonometric Functions?

Trigonometric functions are complex numbers that can be calculated from the coordinates of a right triangle. The six primary Trig FUNCTIONs with domains as angles and answers ranging between -90° to 90°.

 The domain of the trigonometric function (sometimes known as the ‘trig function’) of f(x) = sin is the angle represented in degrees or radians, and the range is [-1, 1]. Similarly, all other functions have domain and range. Calculus, geometry, and algebra all make heavy use of trigonometric functions. 

The ratio of sides of a right-angled triangle is the basis for trigonometric functions and identities. The perpendicular side, hypotenuse, and base of a right triangle are used to determine the sine, cosine, tangent, secant, cosecant, and cotangent values using trigonometric formulas.

Solved Examples

The Trig Exact Value Calculator can easily find the trigonometric values of the angles given. The following examples are solved using the Trig Exact Value Calculator:

Example 1

A high school student needs to find the exact trigonometric equation of the following data given:

Function = cos

Angle = $\frac{\pi}{5}$

Using the Trig Exact Value Calculator, find the exact value of the trigonometric function. 

Solution

We can easily calculate the exact value of the trigonometric function using the Trig Exact Value Calculator. First, we select the function we want to use on the Trig Exact Value Calculator; the function we use is cos. After inputting the function, we add the angle into the Trig Exact Value Calculator; the angle is $\frac{\pi}{5}$.

After entering all the necessary information into the Trig Exact Value Calculator, we click the “Submit” button. The calculator quickly calculates the results and displays them below the calculator. 

The following values are derived from the Trig Exact Value Calculator:

Input:

\[ \cos{(\frac{\pi}{5})} \]

Exact Result:

\[ \frac{1}{4}(1+\sqrt{5}) \]

Example 2

While working on an college assignment, a student comes across the following trigonometric values:

Function = tan

Angle = $ \frac{\pi}{2}+90 $

The college student needs to find the trigonometric values of the given function. With the help of the Trig Exact Value Calculator, find the trigonometric values.

Solution

Using the Trig Exact Value Calculator, we can quickly determine the exact value of the trigonometric function. First, we utilize the Trig Exact Value Calculator to select the function we want to apply; the function we use is tan. We enter the function and the angle into the Trig Exact Value Calculator; the angle is $ \frac{\pi}{2}+90$.

We click the “Submit” button after entering all relevant information into the Trig Exact Value Calculator. The calculator swiftly computes the results, which are displayed below the calculator.

The following results are extracted from the Trig Exact Value Calculator:

Input:

\[ \tan{(\frac{\pi}{2}+90)} \]

Exact Result:

\[ -\cot{(90)} \]

Example 3

Consider the following trigonometry values:

Function = sin

Angle = $3 \frac{\pi}{4}$

Using the Trig Exact Value Calculator, find the trigonometric function given above.

Solution

We may rapidly get the precise value of the trigonometric function using the Trig Exact Value Calculator. First, we use the Trig Exact Value Calculator to select the function we want to use, sin. The function and the angle are entered into the Trig Exact Value Calculator; the angle is $3 \frac{\pi}{4}$.

After inputting all required information into the Trig Exact Value Calculator, we click the “Submit” button. The calculator computes the results quickly and is presented below the calculator.

The following results are taken from the Trig Exact Value Calculator:

Input:

\[ 3 \times (\frac{\pi}{4})  \]

Exact Result:

\[ \frac{1}{\sqrt{2}} \]

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