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

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

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