Happy New Years from Math Man (1 Viewer)

math man

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as i did with christmas i will do the same for new yrs..lets begin this yr by tackling lots of maths and lets all wish for great maths success for hsc and uni students

complex3.png
 

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SpiralFlex

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Are we allowed to take the exponent of the give expansions? Because I am not sure if that is "breaking" the laws of University Mathematics.
 

AAEldar

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I think the answer for the expansion you gave is wrong. The answer I got seems correct and WolframAlpha agrees with me...

Solution.
 

SpiralFlex

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I did the first part like this. (Though I am not using what is given.)

I think this is an alternative.




This is because;






Substituting into the form,




Now by realising,



 
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SpiralFlex

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There doesn't seem to be a faster way for the second solution that I can think of. :/ Guess it's pure algebra.
 

IamBread

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For the second part I got cosxsinx + isinhycoshy / cos^2xcosh^2y + sin^2xsinh^2y.

How do I go on from there?
 

IamBread

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Nevermind I got it... Been too long since I've done math, forgot about cos^2x = 1 - sin^2x...
 

SpiralFlex

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We need to wait until either Australia Day/Easter/Halloween/Christmas 2012 for more questions from the math man. :(
 

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