How to insert an equation with trigonometric functions
How to add an equation in your document, see Working with Microsoft Equation.
To insert, for example, the Euler's formula, do the following:
In the Professional format:
1. In your own equation, on the Equation tab, in the Structures group, click the Script button:
![Script button in equations Word for Microsoft 365 Script button in equations Word 365](/images/tips/equation365/script_button.png)
In the Script list, choose Superscript:
![Superscript in equations Word for Microsoft 365 Superscript in equations Word 365](/images/tips/equation365/superscript.png)
2. In the base box of the script, enter e.
3. At the bottom of the script, enter ix.
4. Enter =.
5. On the Equation tab, in the Structures group, click the Function button:
![Function in equations Word for Microsoft 365 Function in equations Word 365](/images/tips/equation365/function_button.png)
In the Function list, choose Cosine Function:
![Cosine Function in equations Word for Microsoft 365 Cosine Function in equations Word 365](/images/tips/equation365/cosine.png)
6. In the base box of the trigonometrical function, enter x.
7. Enter +i.
8. On the Equation tab, in the Structures group, click the Function button and then in the Function list, choose Sine Function:
![Sine Function in equations Word for Microsoft 365 Sine Function in equations Word 365](/images/tips/equation365/sine.png)
9. In the base box of the trigonometrical function, enter x:
![An equation with trigonometric functions in Word for Microsoft 365 An equation with trigonometric functions in Word 365](/images/tips/528/1.png)
In the Linear format:
1. In your own equation, enter e^(ix) and then press the space bar.
When you press a space key, this linear formula transformed to the professional format:
![An equation with trigonometric functions 1 in Word for Microsoft 365 An equation with trigonometric functions 1 in Word 365](/images/tips/528/3.png)
2. Enter =.
3. Enter cos and then press the space bar:
![An equation with trigonometric functions 2 in Word for Microsoft 365 An equation with trigonometric functions 2 in Word 365](/images/tips/528/4.png)
4. Enter x, then click the right arrow to leave the base box of the Cosine function.
5. Enter +i and a space, then enter sin and a space again.
Then you press the space key, the second part of your linear formula transformed to the professional format:
![An equation with trigonometric functions 3 in Word for Microsoft 365 An equation with trigonometric functions 3 in Word 365](/images/tips/528/5.png)
6. Enter x:
![An equation with trigonometric functions in Word for Microsoft 365 An equation with trigonometric functions in Word 365](/images/tips/528/2.png)
See also how to create other types of equations.
See also this tip in French: Comment insérer une équation avec des fonctions trigonométriques.