[UEB Maths] Function examples for the teleconference

[Janet Reynolds]

I am pasting below three trig problems each brailled in two or three
different ways for us to discuss at the teleconference on Wednesday and
Thursday. I am pasting them rather than attaching a brf file because
I've left it a bit to the last minute and I know some firewalls can get
overzealous with attachments. Could everyone decide how best to access
these while we talk, I will be printing mine out in simulated braille. I
have not included all the options, for example, whether the dot 3 could
sometimes be omitted, but we can cover those as we look at them.

Please could everyone confirm firstly that you received the examples and
secondly that you received the guest pin last week.

Here is a rough agenda

1. Read through the examples together and discuss the pros and cons of
the function indicators, plus any amendments folk want to add.

2. If consensus is not reached, decide on how to progress the function
issue.

3. If time, discuss the various grade 1 indicator arrangements that I
also threw in to stimulate discussion.

4. Again if time, decide if any rewording of Section 1 is needed at this
stage

5. Where to from here=20

Just in case we do get on to Items 3 and 4, it would also be worth us
all having to hand the latest version of Section 1 which I sent on 15
March as an attachment to a message titled "Response to Stephens's
comments on Section 1".

Here are the examples, apologies in advance for any inadvertent errors,
either in the Maths or the braille! I direct entered them in DBT with a
line length of 40 cells and a new page for each set.=20
Janet

,trig ,examples =3D ,4cus.n

    ,triangle example "<#c alt]natives">
#a;a ,f9d ! side m>k$ ;x 9 ! triangle4
  ;;;sin ,b "7 (opp./hyp)
  sin #cj "7 (x./#g)
  #gsin #cj "7 x
  x "7 #g"8#j4e "7 #c4e cm;'
#a;b ,f9d ! side m>k$ ;x 9 ! triangle4
  ;;;*sin',b "7 (opp./hyp)
  *sin'#cj "7 (x./#g)
  #g*sin'#cj "7 x
  x "7 #g"8#j4e "7 #c4e cm;'
#a;c ,f9d ! side m>k$ ;x 9 ! triangle4
  ;;;*s',b "7 (opp./hyp)
  *s'#fj "7 (x./#g)
  #g*s'#fj "7 x
  x "7 #g"8#j4e "7 #c4e cm;'

    ,equa;n example "<#b alt]natives">
""=3D;;;
#b;a ,solve the equation=20
  cosec9#b .? "7 #d for=20
  #j^j @< x @< #ij^j
    cosec9#b .? "7 #d
    ,taking the positive square root
    cosec .? "7 #b
    ,now cosec .? "7 (#a./sin .?)
    so (#a./sin .?) "7 #b
    sin .? "7 #a/b
    .? "7 sin9<"-#a> #a/b "7 #cj^j
#b;b ,solve the equation=20
  *cosec9#b'.? "7 #d for=20
  #j^j @< x @< #ij^j
  *cosec9#b'.? "7 #d
    ,taking the positive square root
    *cosec'.? "7 #b
    ,now *cosec'.? "7 (#a./*sin'.?)
    so (#a./*sin'.?) "7 #b
    *sin'.? "7 #a/b
    .? "7 /sin9<"-#a>'#a/b "7 #cj^j
""=3D;'
    ,>ea example "<#b alt]natives">
#c;a ,prove ! =3Dmula =3D ! >ea ( a triangle
  ,assume >ea "7 #a/b;base"8hei<t
  ,9 ! triangle ,,abc let ,,bc "7 ;a1  ;,,ac "7 ;b1 ;,,ab "7 ;c & !
p]p5dicul> f ;,b to ;,,ac "7 ;h4=20
  ,!n3
    ;;;sin ,c "7 (h./a)
    h "7 asin ,c
    ,area "7 #a/b;b"8h=20
      ,7 #a/b;b"8asin ,c
      "7 #a/b;absin ,c;'
#c;b ,prove ! =3Dmula =3D ! >ea ( a triangle
  ,assume >ea "7 #a/b;base"8hei<t
  ,9 ! triangle ,,abc let ,,bc "7 ;a1  ;,,ac "7 ;b1 ;,,ab "7 ;c & !
p]p5dicul> f ;,b to ;,,ac "7 ;h4
  ,!n3
    +*sin',c "7 (h./a)
    h "7 a*sin',c
    ,area "7 #a/b;b"8h=20
      "7 #a/b;b"8a*sin',c =20
      "7 #a/b;absin ,c;'=20