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  • Writer's pictureNathaniel Hillert

Law of Sine

Updated: Oct 22, 2018

So, one of the big things you will be using in any math class is "Law of Sine". For anyone that doesn't know what Law of Sine is: Sin(A)/a = Sin(B)/b = Sin(C)/c. The sides are always inversely proportional to the Sine of the opposite angle, and vice versa. So let's begin.

  1. Create a new program and name it "LOS" (For Law Of Sine)

  2. Press "prgm", go to the "I/O" tab, and press "enter" on "ClrHome". Hit "enter" to start a new line

  3. Press "prgm", go to the "I/O" tab, and press "enter" on "Input"

  4. Next, type ""SIDE OR ANGLE? (S/A)"", then press comma

  5. Press "vars", hit "enter" on "String...", then hit "enter" on "Str1". Start a new line

  6. Press "prgm" and hit "enter" on "If"

  7. Grab the "Str1" again, press "2nd" then "math" and hit "enter" on "="

  8. Input ""S"" directly after "=", then start a new line

  9. Press "prgm", then hit "enter" on "Then". Start a new line

  10. Press "prgm", go to the "I/O" tab, and press "enter" on "Disp"

  11. Type ""B IS THE SIDE YOU ARE","FINDING"" then start a new line

  12. Press "prgm", go to the "I/O" tab, and hit "enter" on "Input"

  13. Type ""SIDE A: ",A" and start a new line.

  14. Repeat step 12. Type ""ANGLE A: ",B" and start a new line

  15. Repeat step 12. Type ""ANGLE B: ",C" and start a new line

  16. Now type "((sin(C)*A)/sin(B))→D". Start a new line

  17. Insert "Disp" and type ""SIDE B: ",D" Start a new line

  18. Press "prgm", go down to "End" and hit "enter", start a new line

  19. Grab "If" again, then get "Str1" again

  20. Get "=" and type ""A"", start a new line

  21. Grab "Then" again and start a new line

  22. Get "Disp" and type ""B IS THE ANGLE YOU ARE","FINDING"". Start a new line

  23. Repeat step 11. Type ""SIDE A: ",A" and start a new line

  24. Repeat step 11. Type ""ANGLE A: ",B" and start a new line

  25. Repeat step 11. Type ""SIDE B: ",C" and start a new line

  26. Type "(sin−1((sin(B)*C)/A))→D" ("sin-1" is gotten by hitting "2nd" "sin") then start a new line

  27. Get "Disp" and type ""ANGLE B: ",D"

  28. Repeat step 17 without starting a new line

  29. It should look like this:

:Input "SIDE OR ANGLE? (S/A)",Str1

:If Str1="S"

:Then

:Disp "B IS THE ANGLE YOU ARE","FINDING"

:Input "SIDE A: ",A

:Input "ANGLE A: ",B

:Input "ANGLE B: ",C

:((sin(C)*A)/sin(B))→D

:Disp "SIDE B: ",D

:End

:If Str1="A"

:Then

:Disp "B IS THE ANGLE YOU ARE","FINDING"

:Input "SIDE A: ",A

:Input "ANGLE A: ",A

:Input "SIDE B: ",C

:(sin-1((sin(B)*C)/A))→D

:Disp "ANGLE B: ",D

:End


Have fun using your program! Like the post if it was helpful. Drop a comment if you have any questions or need help. Thanks for reading!


-Nate

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