Write a code in for vector math by breaking down direction and magnitude into tw

Question

Write a code in for vector math by breaking down direction and magnitude into two parts, the answer will be the X and Y lengths that make up the two "sides" of the vector use the trig functions from the cmath library and write and use your own function

the program will input a text file:
295 69
231 66
26 40
180 75
270 45
53 66
323 57
205 3
145 68
360 86
279 90
155 75

and output
Magnitude Angle X Y
69 295 29.16066 -62.53524
66 231 -41.53515 -51.29163
40 26 35.95176 17.53485
75 180 -75.00000 0.00000
45 270 -0.00000 -45.00000
66 53 39.71979 52.70994
57 323 45.52222 -34.30346
3 205 -2.71892 -1.26785
68 145 -55.70234 39.00320
86 360 86.00000 -0.00000
90 279 14.07910 -88.89195
75 155 -67.97308 31.69637
13 180 -13.00000 0.00000
40 356 39.90256 -2.79026
6 0 6.00000 0.00000
27 360 27.00000 -0.00000
3 90 0.00000 3.00000
46 173 -45.65712 5.60599
54 19 51.05800 17.58068
75 102 -15.59338 73.36107
16 0 16.00000 0.00000
95 90 0.00000 95.00000
32 180 -32.00000 0.00000
49 270 -0.00000 -49.00000
21 360 21.00000 -0.00000

Explanation / Answer

I will assume some basic familiarity with c++ programming and start with the basic structure of a program. >>>> //includes #include using namespace std; int main() { // code goes here ... return 0; } >>>> We have been asked to do trigonometry inside the program, so we are going to need a math library. #include Just the math part of the code (this belongs inside main). >>>> // I have used floats for all of the values to make sure I can get fractional answers float dir = 0; // this is ? float mag = 0; // this is r float rads = 0; // this is an extra variable for later float x = 0; float y = 0; rads = dir * 2*3.14159/360; // the math functions cos and sin take radians and not degrees // do the math x = mag * cos(rads); y = mag * sin(rads); >>>> Note: rads = degrees * 2p/360 is a conversion formula from degrees to radians. Now that we have coded the math, it is important to do the input/output. For this, we need to include stdio.h, the standard i/o library for c++. You can search all of the necessary functions on www.cplusplus.com. First you need an input file and an output file. FILE* infile = fopen("input.txt", "r"); FILE* outfile = fopen("output.txt", "w"); In order to not try to read past the end of the file, we need a loop that gets the data from the file while checking for the end. while( !feof(infile)) { ... } To read from the file, use the fscanf function: fscanf(infile, "%f", &dir); // this line will read the next piece of data from the file as a float and put it in dir To write to a file, use the fprintf function: fprintf(outfile, "%f ", dir); // this will output dir to the file as a float If you want to format your output you can add numbers in the form x.x in the %f like so: fprintf(outfile, "%.0f ", dir); // this will print dir with no decimal places This is all in the fprintf documentation. Remember to close your files when you are done with them: fclose(infile); fclose(outfile); NOTE: I have left putting all of the pieces together in the right order to you but all of the necessary functions have been given.

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