anonymous
  • anonymous
For an angle Θ with the point (16, −30) on its terminating side, what is the value of cosine?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
\(16\) over the hypotenuse of the triangle with one side \(16\) and the other \(30\)
anonymous
  • anonymous
i.e. \[\frac{16}{\sqrt{16^2+30^2}}\] as a start
anonymous
  • anonymous
You need to solve for c. a2+b2=c2
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anonymous
  • anonymous
@PrincessHush nice picture!
anonymous
  • anonymous
Thanks! (: @satellite73
Directrix
  • Directrix
Doesn't theta in this case have one side on the x-axis? |dw:1444266733897:dw|
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Directrix
  • Directrix
cos(theta) = adjacent side over hypotenuse
anonymous
  • anonymous
g(x) = 4 sin(4x) − 3, what is the value of the y intercept?
anonymous
  • anonymous
@Deadly_Roses
anonymous
  • anonymous
cos(Θ) = x/r = x/sqrt(x^2 + y^2) = 16/sqrt[16^2 + (−30)^2] = 16/34 = 8/17.
anonymous
  • anonymous
so 8/17?
Deadly_Roses
  • Deadly_Roses
princess is correct, it would be 8/17
anonymous
  • anonymous
okay, thanks
anonymous
  • anonymous
rose, can you clarify the earlier comments for me? i don't quite understand what they were saying
anonymous
  • 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.
anonymous
  • 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
Directrix
  • Directrix
You'll need to learn these. See attachment.
anonymous
  • anonymous
i haven't seen those since geometry 4 years ago 0.0 i forgot all about them
anonymous
  • anonymous
What is the 32nd term of the arithmetic sequence where a1 = −32 and a9 = −120?
anonymous
  • 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

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