## Grazes Group Title Where 0<=x<360, Solve the equation one year ago one year ago

1. Grazes Group Title

$3\sin x-5+\csc x=0$

2. Mertsj Group Title

$3\sin ^2x-5\sin x+1=0$

3. Grazes Group Title

But I simplified that to $\sin ^{2}x-3\sin x+1$

4. Mertsj Group Title

I don't see how you get that?

5. Grazes Group Title

Give me a sec

6. Grazes Group Title

Oh wait.. I was looking at something else. My bad.

7. Grazes Group Title

Would I use the quadratic formula to find the roots of 3sin^2x−5sinx+1=0?

8. Mertsj Group Title

$3sinx \times sinx-5\times sinx+\frac{1}{sinx}\times sinx=0 \times sinx$

9. Mertsj Group Title

yes

10. Grazes Group Title

$\frac{ 3\pm \sqrt{5}}{ 2 }$ But then what? I can't isolate for x, can I?

11. Mertsj Group Title

sin x = (3+sqrt5)/2 or sin x = (3-sqrt5)/2

12. Grazes Group Title

So would I find the arcsin of (3+sqrt5)/2 and (3-sqrt5)/2 for x?

13. Mertsj Group Title

Can't be the first one because sin can't be bigger than 1.

14. Mertsj Group Title

so sin x = .3820

15. Grazes Group Title

Does there happen to be a way I could solve this without using a calculator?

16. Mertsj Group Title

If you have a table of values you could.

17. Mertsj Group Title

Did you get 22.5 degrees and 157.5 degrees?

18. genius12 Group Title

Do we need my assistance here or are we ok?