Trigonometry Question

physichull · 27 Nov 2015 at 12:10

OK, so its been 10 years since my maths A level, but I am struggling with the definition of the following term.

If vers θ = 1 - cos θ

What is vers^2 θ ?

GinG · 27 Nov 2015 at 12:13

Potato?

Cleisthenes · 27 Nov 2015 at 12:13

Is vers another way of saying sin or tan?

physichull · 27 Nov 2015 at 12:14

Its the versine.

https://en.wikipedia.org/wiki/Versine

Can't be more helpful than that as I'm not sure myself!

Cleisthenes · 27 Nov 2015 at 12:16

I did maths a level a couple of years ago, and this looks to be to do with the trigonometric identities, but we didn't touch on versines etc so I don't think I can be of any help, sorry. Good luck!

Diddums · 27 Nov 2015 at 12:16

TIGGER NOMMED A TREE?

Cleisthenes · 27 Nov 2015 at 12:20

As sin2θ=1−cos2θ,

vers^2(θ) would equal sin^2(θ) no?

Amleto · 27 Nov 2015 at 13:19

Code:

vers^2 θ = (1 - cos θ)^2

Can you be a bit more specific?

Amleto · 27 Nov 2015 at 13:23

Cleisthenes said:
As sin2θ=1−cos2θ,

vers^2(θ) would equal sin^2(θ) no?

Not quite right.

2sin^2 θ = 1 - cos 2θ

=>

2sin^2 (θ/2) = 1 - cos θ

=>

vers^2 θ = 2 sin^2 (θ/2)

balky12 · 27 Nov 2015 at 13:23

Moses said:
SOH CAH TOA *neutral face*.

Some officers have coaches and horses to order about.

Apparently!?!?!!?!?

Cleisthenes · 27 Nov 2015 at 13:31

Amleto said:
Not quite right.

2sin^2 θ = 1 - cos 2θ

=>

2sin^2 (θ/2) = 1 - cos θ

=>

vers^2 θ = 2 sin^2 (θ/2)

Ah, my mistake

physichull · 27 Nov 2015 at 16:11

Amleto said:
Not quite right.

2sin^2 θ = 1 - cos 2θ

=>

2sin^2 (θ/2) = 1 - cos θ

=>

vers^2 θ = 2 sin^2 (θ/2)

Ahhh I think I get this. Will check for myself once I get home and in the company of my maths text books. Thanks!

Sandycheeks · 27 Nov 2015 at 16:40

physichull said:
Ahhh I think I get this. Will check for myself once I get home and in the company of my maths text books. Thanks!

I see your Friday nights are as rock 'n' roll as mine are!

The Dread Pirate · 27 Nov 2015 at 16:42

Do your own Homework!!! :mad:

physichull · 28 Nov 2015 at 01:41

Not homework at all! It's part of the Chilton-Huddlestone formula and I'm definitely not a student! Need this for work!

ThePirateHulk · 30 Nov 2015 at 00:06

What the flip is a θ?

Gogl · 30 Nov 2015 at 00:13

physichull said:
Not homework at all! It's part of the Chilton-Huddlestone formula and I'm definitely not a student! Need this for work!

The Dread Pirate said:
Do your own ~~Home~~work!!!

ThePirateHulk said:
What the flip is a θ?

I think it's theta, though I can't remember how it's used, I'm far too dumb these days, not that I was ever that smart.

The Dread Pirate · 30 Nov 2015 at 09:36

physichull said:
Not homework at all! It's part of the Chilton-Huddlestone formula and I'm definitely not a student! Need this for work!

As fixed by Gogl or at least pay a consulting fee!

glenimp617 · 30 Nov 2015 at 10:50

BODMAS

Amleto · 30 Nov 2015 at 13:43

Gogl said:
I think it's theta, though I can't remember how it's used, I'm far too dumb these days, not that I was ever that smart.

Yes, it's theta. It's just a (greek) letter so represents a variable. Theta is conventionally used as a variable for an angle.