Happy New Years from Math Man (1 Viewer)

[math man]

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

 

[SpiralFlex]

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]

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

Solution.

 

[SpiralFlex]

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,

 

[SpiralFlex]

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

 

[Carrotsticks]

lol this seems an awful lot like MATH1901/6

 

[math man]

lol this seems an awful lot like MATH1901/6

lol the second part is from the first math 1901 assignment...but i made it easier so it is doable for hsc kids

 

[math man]

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

Solution.

fixed up..ty

 

[IamBread]

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

How do I go on from there?

 

[cutemouse]

Lol complex analysis...

 

[math man]

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

How do I go on from there?

use the bottom formula

 

[IamBread]

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

 

[SpiralFlex]

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

 

[IamBread]

Awww

 

[math man]

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

true...but we are forgetting people's birthdays