anonymous
  • anonymous
I need help asap on a trig question!!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
chrisplusian
  • chrisplusian
?
Vocaloid
  • Vocaloid
post your question please
anonymous
  • anonymous
find the exact values of the trig functions of the angle below. (Use the Pythagorean Theorem to find the third side)

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anonymous
  • anonymous
There is a triangle with a hypotenuse of 41 and an adjacent of 9, the opposite is missing.
Vocaloid
  • Vocaloid
|dw:1443394526440:dw| something like this?
Vocaloid
  • Vocaloid
did I get the drawing right or...?
anonymous
  • anonymous
yes
Vocaloid
  • Vocaloid
ok, do you know how to find the length of the missing side?
anonymous
  • anonymous
yeah it's where you do a^2 + b^2 = c^2 and then you square root it
Vocaloid
  • Vocaloid
ok, so what's the missing side?
anonymous
  • anonymous
I got 42, but my pre calc book got 40, so I really don't know what I did wrong
Vocaloid
  • Vocaloid
9^2 + x^2 = 41^2
Vocaloid
  • Vocaloid
solve for x
anonymous
  • anonymous
ohh, okay. I got 40 as my answer. Thank you so much
Vocaloid
  • Vocaloid
yup, x = 40 so now we have all three sides, now comes the easy part|dw:1443395117726:dw|
Vocaloid
  • Vocaloid
so, our trig functions are: sin(theta) = opposite/hypotenuse cos(theta) = adjacent/hypotenuse tan(theta) = opposite/adjacent
Vocaloid
  • Vocaloid
csc(theta) = hypotenuse/opposite sec(theta) = hypotenuse/adjacent cot(theta) = adjacent/opposite
Vocaloid
  • Vocaloid
now all you need to do is look at the triangle and plug in the numbers where they belong
anonymous
  • anonymous
I know how to do those parts. They are the easiest. :b but I have another triangle with the opoosite being 15, the adjacent being 8, & the hypotenuse missing. I did the eexact same thing in order to solve it , but I got 12.68 and my book got 17.
anonymous
  • anonymous
@Vocaloid
Vocaloid
  • Vocaloid
15^2 + 8^2 = x^2
anonymous
  • anonymous
so the opposite and adjacent are always a & b and the hypotenuse is always c?
Vocaloid
  • Vocaloid
yes

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