Help me win a bet against a teacher

[BlueYoHo]

As My Specialist teacher was setting us today's homework, he told us to do all of Q1 except i) because it's really really hard.
It was a very unproductive lesson for me today because I spent the majority of it trying to figure it out.


The question is:



I tried turning it into over and then turned the into and then cancelling out one of the ...
but got stuck.

The teacher gave me a hint and said the reason it was hard is because: "You have to think about changing quadrants"?? I think...

Please help 

[TrueTears]

http://vcenotes.com/forum/index.php/topic,9192.msg150652.html#msg150652

You can also use complementary theorem.

[BlueYoHo]

remember that

the relationship between cot/csc in many respects resembles tan/sec

What is "csc"?
Is it just cosec?

And if so would you make that one on sin...?

[TonyHem]

the integral of cosec^2(x) = -cot(x)
csc is cosec

[BlueYoHo]

Oh really? 

Is there some sort of possibility that you or someone could prove it? 

[TrueTears]

[Damo17]

I think maybe he means how do you show it in terms of breaking it up further to something more recognisable like this:


                         
                         

[BlueYoHo]

Sweet, thanks guys.