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| Meta Title | sin(2pi)-sin(pi) |
| Meta Description | Detailed step by step solution for sin(2pi)-sin(pi) |
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| Boilerpipe Text | Solution
Solution
Solution steps
Rewrite using trig identities:
Rewrite
as
Apply the periodicity of
:
Use the following trivial identity:
periodicity table with
cycle:
Use the following trivial identity:
periodicity table with
cycle:
Simplify
Popular Examples
sin(135)+cos(135)+tan(135)
tan(arcsin((-12)/(13)))
sec(arccos(-3/5))
6sin(10)
(cos(pi/4)+isin(pi/4))^{100}
Frequently Asked Questions (FAQ)
What is the value of sin(2pi)-sin(pi) ?
The value of sin(2pi)-sin(pi) is 0 |
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# sin(2pi)-sin(pi)
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## Solution
sin(2ฯ)โsin(ฯ)
## Solution
0
Hide Steps
Solution steps
sin(2ฯ)โsin(ฯ)
Rewrite using trig identities:sin(2ฯ)\=0
sin(2ฯ)
sin(2ฯ)\=sin(0)
sin(2ฯ)
Rewrite 2ฯ as 2ฯ\+0\=sin(2ฯ\+0)
Apply the periodicity of sin: sin(x\+2ฯ)\=sin(x)sin(2ฯ\+0)\=sin(0)\=sin(0)
\=sin(0)
Use the following trivial identity:sin(0)\=0
sin(0)
sin(x) periodicity table with 2ฯn cycle:
x06ฯโ4ฯโ3ฯโ2ฯโ32ฯโ43ฯโ65ฯโโ
sin(x)021โ
2
2
โ
โ
2
3
โ
โ
1
2
3
โ
โ
2
2
โ
โ
21โ
โ
xฯ67ฯโ45ฯโ34ฯโ23ฯโ35ฯโ47ฯโ611ฯโโ
sin(x)0โ21โ
โ
2
2
โ
โ
โ
2
3
โ
โ
โ1
โ
2
3
โ
โ
โ
2
2
โ
โ
โ21โ
โ
โ
\=0
\=0
Use the following trivial identity:sin(ฯ)\=0
sin(ฯ)
sin(x) periodicity table with 2ฯn cycle:
x06ฯโ4ฯโ3ฯโ2ฯโ32ฯโ43ฯโ65ฯโโ
sin(x)021โ
2
2
โ
โ
2
3
โ
โ
1
2
3
โ
โ
2
2
โ
โ
21โ
โ
xฯ67ฯโ45ฯโ34ฯโ23ฯโ35ฯโ47ฯโ611ฯโโ
sin(x)0โ21โ
โ
2
2
โ
โ
โ
2
3
โ
โ
โ1
โ
2
3
โ
โ
โ
2
2
โ
โ
โ21โ
โ
โ
\=0
\=0โ0
Simplify\=0
Enter your problem
## Popular Examples
[sin(135)+cos(135)+tan(135)](https://www.symbolab.com/popular-trigonometry/trigonometry-35098)[sin(135โ)\+cos(135โ)\+tan(135โ)](https://www.symbolab.com/popular-trigonometry/trigonometry-35098)[tan(arcsin((-12)/(13)))](https://www.symbolab.com/popular-trigonometry/trigonometry-35100)[tan(arcsin(13โ12โ))](https://www.symbolab.com/popular-trigonometry/trigonometry-35100)[sec(arccos(-3/5))](https://www.symbolab.com/popular-trigonometry/trigonometry-35104)[sec(arccos(โ53โ))](https://www.symbolab.com/popular-trigonometry/trigonometry-35104)[6sin(10)](https://www.symbolab.com/popular-trigonometry/trigonometry-35107)[6sin(10โ)](https://www.symbolab.com/popular-trigonometry/trigonometry-35107)[(cos(pi/4)+isin(pi/4))^{100}](https://www.symbolab.com/popular-trigonometry/trigonometry-35109)[(cos(4ฯโ)\+isin(4ฯโ))100](https://www.symbolab.com/popular-trigonometry/trigonometry-35109)
## Frequently Asked Questions (FAQ)
- ### What is the value of sin(2pi)-sin(pi) ?
The value of sin(2pi)-sin(pi) is 0
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| Readable Markdown | ## Solution
## Solution
Solution steps
Rewrite using trig identities:
Rewrite as
Apply the periodicity of :
Use the following trivial identity:
periodicity table with cycle:
Use the following trivial identity:
periodicity table with cycle:
Simplify
## Popular Examples
[sin(135)+cos(135)+tan(135)](https://www.symbolab.com/popular-trigonometry/trigonometry-35098)[tan(arcsin((-12)/(13)))](https://www.symbolab.com/popular-trigonometry/trigonometry-35100)[sec(arccos(-3/5))](https://www.symbolab.com/popular-trigonometry/trigonometry-35104)[6sin(10)](https://www.symbolab.com/popular-trigonometry/trigonometry-35107)[(cos(pi/4)+isin(pi/4))^{100}](https://www.symbolab.com/popular-trigonometry/trigonometry-35109)
## Frequently Asked Questions (FAQ)
- ### What is the value of sin(2pi)-sin(pi) ?
The value of sin(2pi)-sin(pi) is 0 |
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