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Quote from: Thebox on 08/09/2016 08:14:02Quote from: jeffreyH on 08/09/2016 00:58:24P.S. There are 3 angles.Now I am confused you seem to be arguing with each other about a triangle. A triangle has 3 ''sides'' If cos=sin we have one 90 degree and two acute angles, if a triangle is an equilateral triangle, there is no 90 degree and 3 acutes?Sorry for confusing you. Yes there are 3 acute angles in an equilateral. Keep on going. It's worth the effort.
Quote from: jeffreyH on 08/09/2016 00:58:24P.S. There are 3 angles.Now I am confused you seem to be arguing with each other about a triangle. A triangle has 3 ''sides'' If cos=sin we have one 90 degree and two acute angles, if a triangle is an equilateral triangle, there is no 90 degree and 3 acutes?
P.S. There are 3 angles.
The only time cos x = sin x is when x = pi/4 or 5pi/4.Wake up, guys, this stuff is pre-'O' level - in fact only just post-11-plus!
I strongly advise you to learn some elementary maths before paddling in the waters of science. Maths is the language of physics just as German is the language of Germany.
If cos is ten miles long and sin is ten miles long, then surely cos=sin? or am I confusing this with calculus?
Quote from: Thebox on 08/09/2016 10:15:57If cos is ten miles long and sin is ten miles long, then surely cos=sin? or am I confusing this with calculus?Cos, sin and tan are not distances but ratios. Start with basics https://www.mathsisfun.com/algebra/trigonometry.html or you will always be confused.
. and tangent is always an ''hippopotamus''? lol.
Quote from: Colin2B on 08/09/2016 23:37:12Quote from: Thebox on 08/09/2016 10:15:57If cos is ten miles long and sin is ten miles long, then surely cos=sin? or am I confusing this with calculus?Cos, sin and tan are not distances but ratios. Start with basics https://www.mathsisfun.com/algebra/trigonometry.html or you will always be confused.Thank you Colin, that link looks a bit easier to understand. I have the link open has I write. Sine Function:sin(θ) = Opposite / HypotenuseCosine Function:cos(θ) = Adjacent / HypotenuseTangent Function:tan(θ) = Opposite / Adjacentcos is always the adjacent?sin is always the opposite?and tangent is always an ''hippopotamus''? lol.
Ok, back to the point. The past and future light cones are related to Minkowski spacetime as can be seen on the following page.https://en.m.wikipedia.org/wiki/Light_coneI will be relating trigonometry to both Minkowski spacetime and the light cones in a slightly different way.
I don't mind as long as you stay on topic. And don't ask about equilateral triangle's. Lol.
Hi Box,What's the problem with light cones? They're simply a way of showing a sphere expanding over time by eliminating one (or two) space dimension(s) from the diagram and using one of the freed-up dimensions (the one running up and down the page) to show time. The cones that you're rejecting are pictures of a sphere expanding, so you just have to learn to read them the right way to recognise that.
The light cone is a valid mathematical construct.
The interpretation of future and past is incorrect and a cone is not a sphere, the diagram looks like an over exaggerated Pulsar.