Difference between revisions of "Arcsin"

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(Properties)
(Properties)
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[[Antiderivative of arcsin]] <br />
 
[[Antiderivative of arcsin]] <br />
 
[[Relationship between arcsin and arccsc]] <br />
 
[[Relationship between arcsin and arccsc]] <br />
 
+
[[Relationship between arcsin and hypergeometric 2F1]]<br />
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<strong>Proposition:</strong>
 
$\mathrm{arcsin}(z)=\displaystyle\sum_{k=0}^{\infty} \dfrac{\left(\frac{1}{2} \right)_n}{(2n+1)n!}x^{2n+1}$
 
<div class="mw-collapsible-content">
 
<strong>Proof:</strong> █
 
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</div>
 
 
 
{{:Relationship between arcsin and hypergeometric 2F1}}
 
  
 
=Videos=
 
=Videos=

Revision as of 07:20, 8 June 2016

The function $\mathrm{arcsin} \colon [-1,1] \rightarrow \left[ -\frac{\pi}{2}, \frac{\pi}{2} \right]$ is the inverse function of the sine function.

Properties

Derivative of arcsin
Antiderivative of arcsin
Relationship between arcsin and arccsc
Relationship between arcsin and hypergeometric 2F1

Videos

Inverse Trig Functions: Arcsin
Integrate x*arcsin(x)
What is arcsin(x)?
What is the inverse of arcsin(ln(x))?

See Also

Sine
Sinh
Arcsinh

References

On the function arc sin(x+iy)-Cayley

<center>Inverse trigonometric functions
</center>