Sin Cos 01

Find the zero and one degree values.

Description

The Sin Function equal the Cos Function are 90° equal Zero: Sin = Cos --> 0 = 90°.
A Null Sin Function equal a Null Cos Function are 90° equal sqrt(2): Sin = Cos = Null --> sqrt(2) = 90°.
The sqrt(2) value is zero if 90° are 90 null degrees.
If the two wave functions are two functions (case with cartesian reference plane) then sin(45°) = cos(45°) = sqrt(2)/2. The sqrt(2)/2 value is the union point of two functions: it is the same functions solution.
If the two wave functions are the same double function (case without cartesian reference plane) then 90° are zero and the same functions solution is in the all points: the sqrt(2)/2 value is the union point of the double function. In this way is true that sin(x) = cos(x) = sqrt(2)/2 with “x” range 0° - 360°.
If the Sin Function equal to the Cos Function is a Null Function the sqrt(2) = 90° and so I can write: x = 45°.
The program take a double input, X and Y, where:
X = sin(360°) --> X = zero
Y = cos(360°) --> Y = one
The program output are:
negative half unity
negative unity
positive half unity
positive unity
half uity
unity
zero
180°
X°
Y°
The formulas are:
half unity = zero = negative half unity + positive half unity
unity = 180° = negative unity + positive unity
X° = unity * X / 180
Y° = unity * Y / 180
If is true X = Y then X° = Y°: are 19^2 cases of 0 = 1.
The total input combinations are: 19^4.
The total input combinations less 19^2 cases of 0 = 1 are 129960 combinations.
The number of not 0 = 1 combinations less 360 combinations are 129600 combinations and this is the number of seconds in a day and half.
Example one.
X = sin(360°) --> X = zero
Y = cos(360°) --> Y = one
To insert X in the range 0-360: 51
To insert Y in the range 0-360: 51
negative half unity: 50
negative unity: 100
positive half unity: 51
positive unity: 102
half unity: 101
unity: 202
zero: 101
180°: 202
X°: 57.2333
Y°: 57.2333
51 = sin(360°) --> 51 = zero
51 = cos(360°) --> 51 = one
51° = 57.2333
Example two.
X = sin(360°) --> X = zero
Y = cos(360°) --> Y = one
To insert X in the range 0-360: 180
To insert Y in the range 0-360: 1
negative half unity: 89.5000
negative unity: 179
positive half unity: 90.5000
positive unity: 181
half unity: 180
unity: 360
zero: 180
180°: 360
X°: 360
Y°: 2
180 = sin(360°) --> 180 = zero
1 = cos(360°) --> 1 = one
180° = 360
1° = 2

• MATLAB release: MATLAB 6.1 (R12.1)
• Other Files: license.txt, ; sc01.m

[James Tursa]

Wow, I think I am finally getting this stuff. I have to admit it took be awhile to get the meaning of your other posts, but this one for some reason just stood out. These lines from your description were the key:

POSitive half unity: 51
POSitive unity: 102

After that it was simply putting this together with both of these lines:

X = sin(360°)
180 = sin(360°)

to get that this was a POSitive Program Of Sines (POS), or POS POS! Yeah, I finally got it! So I think you should re-title this submission as:

POS POS: Sin Cos 01

[Tyler Jandreau]

James, you da man.