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| Content | |
| Meta Title | Verify the Identity sin(2pi-x)=-sin(x) | Mathway |
| Meta Description | Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. |
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| Boilerpipe Text | Because the two sides have been shown to be equivalent , the equation is an identity . |
| Markdown | Enter a problem...
# Trigonometry Examples
[Popular Problems](https://www.mathway.com/popular-problems)
[Trigonometry](https://www.mathway.com/popular-problems/Trigonometry)
Verify the Identity sin(2pi-x)=-sin(x)
Step 1
Start on the left side.
Step 2
Apply the difference of angles identity.
Step 3
Simplify the expression.
Tap for more steps...
Step 3.1
Simplify each term.
Tap for more steps...
Step 3.1.1
Subtract full rotations of until the angle is greater than or equal to and less than .
Step 3.1.2
The exact value of is .
Step 3.1.3
Multiply by .
Step 3.1.4
Subtract full rotations of until the angle is greater than or equal to and less than .
Step 3.1.5
The exact value of is .
Step 3.1.6
Multiply by .
Step 3.1.7
Rewrite as .
Step 3.2
Subtract from .
Step 4
Because the two sides have been shown to be equivalent, the equation is an identity.
is an identity
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