…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:
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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.)