Solution Explanation Help

[dxs]

So I have this question, and understand the first part, but do not understand the "over [0 degrees, 360 degrees]."
Would this mean I put my end angles into the [ ] brackets?

 

[yoscar04]

No. If you add 360 degrees to any angle, you get the same angle: [MATH]\alpha[/MATH]=[MATH]\alpha[/MATH]+360^o. In this particular problem they want all the angles in the range [0^o,360^o] that satisfy 5sin([MATH]\theta[/MATH])=2.

 

[Dr.Peterson]

View attachment 20517
So I have this question, and understand the first part, but do not understand the "over [0 degrees, 360 degrees]."
Would this mean I put my end angles into the [ ] brackets?

Are you familiar with interval notation? This means [MATH]0 \le \theta \le 360^o[/MATH].

 

[JeffM]

Have you thought about the domain of the arcsine function?

 

[dxs]

Have you thought about the domain of the arcsine function?

Oh this is just for Grade 11, Im not sure what arcsine is yet.

 

[dxs]

Are you familiar with interval notation? This means [MATH]0 \le \theta \le 360^o[/MATH].

Yes, that's how I solved it. Thank you.

 

[JeffM]

Oh this is just for Grade 11, Im not sure what arcsine is yet.

The arcsin function is the inverse function to the sine function, sometimes shown as

[MATH]sin^{-1} ( \theta ).[/MATH]
If you didn't use that function, how did you get an answer for theta?

 

[dxs]

The arcsin function is the inverse function to the sine function, sometimes shown as

[MATH]sin^{-1} ( \theta ).[/MATH]
If you didn't use that function, how did you get an answer for theta?

Oh I've jut never heard the word arcsin but I know about the inverse sin function.

 

[JeffM]

Oh I've jut never heard the word arcsin but I know about the inverse sin function.

Well before you finally decide that your answer is correct, think carefully about whether you considered the domain of that function.

 

[Dr.Peterson]

Well before you finally decide that your answer is correct, think carefully about whether you considered the domain of that function.

I'm wondering if you mean "range"?

@dxs, to help us be sure you don't need more help, maybe you can tell us your answer.

 

[dxs]

I'm wondering if you mean "range"?

@dxs, to help us be sure you don't need more help, maybe you can tell us your answer.