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#1 2007-01-11 21:08:24
- soha
- Real Member
- Registered: 2006-07-07
- Posts: 2,530
if......
IF cosecθ-sinθ=p,secθ-cosθ=q
PROVE THAT p²q²(p²+q²+3)=1
Last edited by soha (2007-01-11 21:09:17)
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#2 2007-01-11 23:14:44
- gnitsuk
- Member
- Registered: 2006-02-09
- Posts: 121
Re: if......
therefore
and
therefore
and
and so
Call the above equation (1)
Now
This you can see by directly multiplying out the cubic, collecting like terms and remembering that c^2 + s^2 = 1
So we have:
and so
Therefore, from equation (1) we have:
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