September 25th, 2003 
If you guys know this kind of stuff...can you help me?
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:
5) 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.)
