View Full Version : Maths help (trigonometry) +REP
Matthew
10-10-2012, 05:44 PM
Hiya
I'm completely stumped with this one. Its about proving identities.
You need to prove the following identity (take = to be the 'is identical to' sign):
1/sinx - sinx = cosx/tanx
I think I'm on the right lines, but get stuck at a point?
I do the following (hopefully this makes sense as its hard to read when fractions are written out on a computer as x/y IMO :()
1/sinx - sinx = cosx/tanx
1/sinx - sinx = 1-sin2x/sinx
1-sin2x/sinx = cos2x/sinx
where do I go from here? I'm now up to cos2x/sinx = cosx/tanx
Thanks if anyone can help lol, I bet its easy and I'm just being an idiot though :(
Chippiewill
10-10-2012, 05:49 PM
you're basically there, cos^2(x)/sinx = (cosx/sinx) * cosx = 1/tanx * cosx = cosx/tanx
You probably didn't notice that
cosx / sin x = 1/tanx
Since that's just
sinx/cosx = tanx flipped upsidedown.
Matthew
10-10-2012, 06:00 PM
you're basically there, cos^2(x)/sinx = (cosx/sinx) * cosx = 1/tanx * cosx = cosx/tanx
You probably didn't notice that
cosx / sin x = 1/tanx
Since that's just
sinx/cosx = tanx flipped upsidedown.
ah right, makes sense :)
Thanks, +REP! :D
I am astonished you guys can stand that sort of Mathematics. That would stress me out to the point I would actually want to go jump off a bridge.
Mr-Trainor
11-10-2012, 04:18 PM
I am astonished you guys can stand that sort of Mathematics. That would stress me out to the point I would actually want to go jump off a bridge.
I've just finished C3 trig, and it really is the most annoying part of core maths imo :(. I've never liked trig though, even at GCSE. Stats is much easier :P.
Chippiewill
11-10-2012, 04:24 PM
I've just finished C3 trig, and it really is the most annoying part of core maths imo :(. I've never liked trig though, even at GCSE. Stats is much easier :P.
You won't be thinking that after C4 differential equations ;)
Matthew
11-10-2012, 05:18 PM
You won't be thinking that after C4 differential equations ;)
haha. Did you do further maths by the way? :)
Chippiewill
11-10-2012, 06:26 PM
haha. Did you do further maths by the way? :)
Did? Doing.
Mr-Trainor
12-10-2012, 03:49 PM
You won't be thinking that after C4 differential equations ;)
I can't wait! lol. I just hope there's the easy sections as well as the hard ones :P.
Wig44.
15-10-2012, 03:40 AM
Hiya
1-sin2x/sinx = cos2x/sinx
I just wanted to point out that this is essentially the end of the proof:
1-sin2x = cos2x because sin2x + cos 2x = 1, hence cos2x/sinx, which can then be written as cosx/tanx
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