## anonymous one year ago For an angle Θ with the point (16, −30) on its terminating side, what is the value of cosine?

1. anonymous

$$16$$ over the hypotenuse of the triangle with one side $$16$$ and the other $$30$$

2. anonymous

i.e. $\frac{16}{\sqrt{16^2+30^2}}$ as a start

3. anonymous

You need to solve for c. a2+b2=c2

4. anonymous

@PrincessHush nice picture!

5. anonymous

Thanks! (: @satellite73

6. Directrix

Doesn't theta in this case have one side on the x-axis? |dw:1444266733897:dw|

7. Directrix

cos(theta) = adjacent side over hypotenuse

8. anonymous

g(x) = 4 sin(4x) − 3, what is the value of the y intercept?

9. anonymous

10. anonymous

cos(Θ) = x/r = x/sqrt(x^2 + y^2) = 16/sqrt[16^2 + (−30)^2] = 16/34 = 8/17.

11. anonymous

so 8/17?

princess is correct, it would be 8/17

13. anonymous

okay, thanks

14. anonymous

rose, can you clarify the earlier comments for me? i don't quite understand what they were saying

15. anonymous

Yes @gahoolianowl it is 8/17 and I would help you step by step but unfortunately I have to go I hope @Deadly_Roses can help you with whatever you need or if she cant ill try to get you help if you would like met to.

16. anonymous

thank you for all of your help. it is very much appreciated. im sure rose will do wonderfully. she has yet to let me down with this stuff

17. Directrix

You'll need to learn these. See attachment.

18. anonymous

i haven't seen those since geometry 4 years ago 0.0 i forgot all about them

19. anonymous

What is the 32nd term of the arithmetic sequence where a1 = −32 and a9 = −120?

20. anonymous

The 32nd term of the arithmetic sequence where a1 = -32 and a9 = -120 is Common difference: [-120 - (-32)]/8 = -11 nth or General Term of an Arithmetic Sequence an = a1 + (n - 1)d where a1 is the first term of the sequence and d is the common difference. a32 = -32 + (31)*(-11) = -32 - 341 = -373 @gahoolianowl