I'll be forever indebted as your Incan love slave...

…if you help me with this math.

it’s Trigonometry. I’m assuming it’s basic, but we were given a term paper on it before we learned it, as a teach-it-to-yourself type of deal…and it’s a large honking hunk of the grade…so…
4) Determine the number of solutions of the equation sinax = b for the domain 0 £ x £ 2p for the values of a, a ’ Z+ and b ’ R shown in the table which you should copy and complete.

  Values of a..........	      Values of B.........	Number of Solutions
          1...........	              0............	      3 (0, 180, 360)
          2  .............	             0.2..............	               4
          3...................	            -0.5.............	               6
          4.............	              1	..............               8
         0.5.............	             0.5...............	               2
          1	....................              2	...............             zero

The “number of solutions” was guessed by me. I need help with that, and I would love it if you would explain HOW you did it.

In a related problem:

  1. Determine the number of solutions of the equation sinax = bx for the domain 0 £ x £ 2p for the values of a, a ’ Z+ and b ’ R;0<b<1 and b shown in the table which you should copy and complete.

    Values of a … Values of B… Number of Solutions
    1 … 0.5 … 2
    2 … 0.5 … 4
    3 … 0.5 … 6
    1 … 0.2… 2
    3 … 0.3… 6
    10 … 0.6… 20

Same deal. Last row is anyone’s guess (and I tried.)

Help help help. (Especially with the concepts.)

Dang it! I opened this thread because I could sue use an Incan love slave. Alas, I am a lost cause with math.

[Prof. HAT on]
Why not do the reading, and the problems and Learn how to do it on your own?[Prof. Hat off]

Sorry as a professor I can not condone jumping on the internet and having someone else in the world do your homework for you. Though with all the Mathematics savvy people on the boards…I’d bet you’ll have your answer by noon. Learning is something you must want to do. Why go to college if you don’t intend to learn anything?

Welcome to the SDMB, thewhitewonder. I hope you will enjoy your stay. One problem. We aren’t a homework service. You will learn best if you follow the instructions given you by your teacher.

bibliophage
moderator GQ