Now I realise this is not either a poser or a puzzle, well it is to me, but I am trying to do something in excel and I was rather hoping that one of you might know how to do it. So here is the problem:

I have a line running at 76 degrees If you take a single point on either side I want to know on which side it is - I have to use excel for this.

Let us assume (as it is in my spreadsheet) P3 is the cell with angle to the single point on either side of the line. So far I have come up with:

IF((PI()+RADIANS(76))>(P3)>RADIANS(76),1,-1)

The problem I have is I have to go through either 360 in degrees or 2pi in radians to make this formula stand up.

a) does anybody understand my problem?!ðŸ˜€
b) does anybody know how I can get this to work?

Originally posted by Mat Kelley Now I realise this is not either a poser or a puzzle, well it is to me, but I am trying to do something in excel and I was rather hoping that one of you might know how to do it. So here is the problem:

I have a line running at 76 degrees If you take a single point on either side I want to know on which side it is - I have to use excel for this.

Let ...[text shortened]... !ðŸ˜€
b) does anybody know how I can get this to work?

I know one of you must

cheers

Mat

Why not compare the angles directly? If P3>76, then it's one side and if P3<76 it's on the other. Assuming your line is infinite, you could use =IF(AND((76+180)>A1,A1>76),1,-1)

If your angle at P3 ever goes beyond 360, simply
=MOD(A1,360)
reduces it to an equivalent <360.

Originally posted by BigDoggProblem Why not compare the angles directly? If P3>76, then it's one side and if P3<76 it's on the other. Assuming your line is infinite, you could use =IF(AND((76+180)>A1,A1>76),1,-1)

If your angle at P3 ever goes beyond 360, simply
=MOD(A1,360)
reduces it to an equivalent <360.

Why not compare the angles directly? If P3>76, then it's one side and if P3<76 it's on the other.

As soon as the angle goes beyond 256 it is back on the other side of the line

The MOD function is helpful when working with cyclic angles

=MOD(angle-76 , 360) < 180

Returns TRUE if the angle is above your line

or if you are working in radians:

=MOD(angle-radians(76) , 2*pi()) < pi()

TRUE = 1 and FALSE = 0, so if you Really want -1 or +1 (which you probably don't because true and false work very welll in subsequent logic) then you can do something such as:

Another way, if you know where the point is in cartesian x/y, is to rotate it clockwise by the angle of the line. Then if its rotated y is > 0 it's above the line. This means that you don't have to worry about cyclic angles at all.

i.e, if the angle of the line is A, and the point is (x,y), the point is above the line if:
cos(A)y - sin(A)x > 0

Originally posted by iamatiger The MOD function is helpful when working with cyclic angles

=MOD(angle-76 , 360) < 180

Returns TRUE if the angle is above your line

or if you are working in radians:

=MOD(angle-radians(76) , 2*pi()) < pi()

TRUE = 1 and FALSE = 0, so if you Really want -1 or +1 (which you probably don't because true and false work very welll in subsequent logic) then you can do something such as:

Hi, looks like you know a lot about math and excel.
I have a question: what is the significance of the null set in
parentheses? where you have 2*pi() and pi() ? is some value
assumed to be inserted there?

Originally posted by sonhouse Hi, looks like you know a lot about math and excel.
I have a question: what is the significance of the null set in
parentheses? where you have 2*pi() and pi() ? is some value
assumed to be inserted there?

I think PI() is an Excel function that takes no arguments, but still requires the parentheses for proper syntax. If it is, I don't know why they don't replace it with a constant. Doesn't Excel crap out after 8 or so decimal places anyway?

Originally posted by PBE6 I think PI() is an Excel function that takes no arguments, but still requires the parentheses for proper syntax. If it is, I don't know why they don't replace it with a constant. Doesn't Excel crap out after 8 or so decimal places anyway?

15 decimal places in my Excel, which isn't too bad.

You're right, the parenthesis are needed in excel because this is strictly a parameterless function that returns PI, excel doesn't have any proper built in constants, although you can define your own.