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Mathematics 17 Online
OpenStudy (walters):

show the following .pls

OpenStudy (walters):

Re\[ \left\{ \sin ^{-1} \right\}=\frac{ 1 }{ 2 }\left\{ \sqrt{x ^{2}+y ^{2}+2x+1} \\-\sqrt{x ^{2}+y ^{2}-2x+1}\right\}\]

OpenStudy (primeralph):

Question not complete.

OpenStudy (walters):

it is \[\sin ^{-1}z\]

OpenStudy (jdoe0001):

\(\bf \large sin ^{-1}(\square?) =\cfrac{ 1 }{ 2 } \pm\sqrt{x^2+y^2+2x+1} \ \ ?\)

OpenStudy (primeralph):

Where did y come from?

OpenStudy (walters):

i think z is complex

OpenStudy (walters):

then \[z=x+yi\]

OpenStudy (walters):

don't forget that Re is real in complex

OpenStudy (walters):

@phi

OpenStudy (primeralph):

@walters Can you post the problem from scratch and everything that has to do with it?

OpenStudy (walters):

ok give a minute

OpenStudy (walters):

Show that Re\[ \left\{ \sin ^{-1} z\right\}=\frac{ 1 }{ 2 }\left\{ \sqrt{x ^{2}+y ^{2}+2x+1}\\-\sqrt{x ^{2}+y ^{2}-2x+1} \right\}\]

OpenStudy (walters):

this is hoe the question is so since i am working with complex numbers i think \[z=x+yi\]

OpenStudy (primeralph):

I don't think that is correct. The solution contains some natural logs. Are you sure z = x + yi?

OpenStudy (walters):

i am not sure this is i was thinking since we are in complex numbers

OpenStudy (walters):

so wat is?

OpenStudy (primeralph):

It's really ugly if z = x+yi. Very long.

OpenStudy (walters):

so do u have any idea how to do it

OpenStudy (primeralph):

It all depends on what z equals.

OpenStudy (walters):

can u show me how long can it be?

OpenStudy (primeralph):

Wait, just the real part?

OpenStudy (primeralph):

Yes, it is correct.

OpenStudy (walters):

so can u help

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