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| Meta Title | sinh(2pi) |
| Meta Description | Detailed step by step solution for sinh(2pi) |
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| Boilerpipe Text | Use the Hyperbolic identity:
Apply exponent rule:
Join
Convert element to fraction:
Since the denominators are equal, combine the fractions:
Apply exponent rule:
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Apply the fraction rule: |
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# sinh(2pi)
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## Solution
sinh(2π)
## Solution
2e2πe4π−1
\+1
Decimal
267\.74489…
Hide Steps
Solution steps
sinh(2π)
Use the Hyperbolic identity: sinh(x)\=2ex−e−x\=2e2π−e−2π
2e2π−e−2π\=2e2πe4π−1
2e2π−e−2π
Apply exponent rule: a−b\=ab1\=2e2π−e2π1
Join e2π−e2π1:e2πe4π−1
e2π−e2π1
Convert element to fraction: e2π\=e2πe2πe2π\=e2πe2πe2π−e2π1
Since the denominators are equal, combine the fractions: ca±cb\=ca±b\=e2πe2πe2π−1
e2πe2π−1\=e4π−1
e2πe2π−1
e2πe2π\=e4π
e2πe2π
Apply exponent rule: ab⋅ac\=ab\+ce2πe2π\=e2π\+2π\=e2π\+2π
Add similar elements: 2π\+2π\=4π\=e4π
\=e4π−1
\=e2πe4π−1
\=2e2πe4π−1
Apply the fraction rule: acb\=c⋅ab\=e2π⋅2e4π−1
\=2e2πe4π−1
Enter your problem
## Popular Examples
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## Frequently Asked Questions (FAQ)
- ### What is the value of sinh(2pi) ?
The value of sinh(2pi) is (e^{4pi}-1)/(2e^{2pi)}
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| Readable Markdown | Use the Hyperbolic identity:
Apply exponent rule:
Join
Convert element to fraction:
Since the denominators are equal, combine the fractions:
Apply exponent rule:
Add similar elements:
Apply the fraction rule: |
| Shard | 2 (laksa) |
| Root Hash | 1977249391401099202 |
| Unparsed URL | com,symbolab!www,/popular-trigonometry/trigonometry-3432 s443 |