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| Meta Title | sin(2pi) |
| Meta Description | Detailed step by step solution for sin(2pi) |
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| Boilerpipe Text | Solution
Solution
Solution steps
Rewrite
as
Apply the periodicity of
:
Use the following trivial identity:
periodicity table with
cycle:
Popular Examples
cos(2x)=(sqrt(3))/2
sin(270)
-csc^2(pi/4)
cot(90)
cos(θ)= 4/5
Frequently Asked Questions (FAQ)
What is the value of sin(2pi) ?
The value of sin(2pi) is 0 |
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# sin(2pi)
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## Solution
sin(2π)
## Solution
0
Hide Steps
Solution steps
sin(2π)
sin(2π)\=sin(0)
sin(2π)
Rewrite 2π as 2π\+0\=sin(2π\+0)
Apply the periodicity of sin: sin(x\+2π)\=sin(x)sin(2π\+0)\=sin(0)\=sin(0)
\=sin(0)
Use the following trivial identity:sin(0)\=0
sin(0)
sin(x) periodicity table with 2πn cycle:
x06π4π3π2π32π43π65π
sin(x)021
2
2
2
3
1
2
3
2
2
21
xπ67π45π34π23π35π47π611π
sin(x)0−21
−
2
2
−
2
3
−1
−
2
3
−
2
2
−21
\=0
\=0
Enter your problem
## Popular Examples
[cos(2x)=(sqrt(3))/2](https://www.symbolab.com/popular-trigonometry/trigonometry-512)
[cos(2x)= 2 3 ](https://www.symbolab.com/popular-trigonometry/trigonometry-512)
[sin(270)](https://www.symbolab.com/popular-trigonometry/trigonometry-514)[sin(270∘)](https://www.symbolab.com/popular-trigonometry/trigonometry-514)[\-csc^2(pi/4)](https://www.symbolab.com/popular-trigonometry/trigonometry-515)[−csc2(4π)](https://www.symbolab.com/popular-trigonometry/trigonometry-515)[cot(90)](https://www.symbolab.com/popular-trigonometry/trigonometry-516)[cot(90∘)](https://www.symbolab.com/popular-trigonometry/trigonometry-516)[cos(θ)= 4/5](https://www.symbolab.com/popular-trigonometry/trigonometry-517)[cos(θ)\=54](https://www.symbolab.com/popular-trigonometry/trigonometry-517)
## Frequently Asked Questions (FAQ)
- ### What is the value of sin(2pi) ?
The value of sin(2pi) is 0
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