**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 Calculato**r 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 th**e 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:

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