anonymous
  • anonymous
Find the point on the terminal side of θ =3pie/4 that has a y coordinate of 1. Show your work for full credit.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
|dw:1350326762097:dw|
anonymous
  • anonymous
the goal is to find the coordinates of the point at the end of that angle. We are told that y = 1 at that point so we just need to find the x coordinate and we're set
anonymous
  • anonymous
to do this we use the triangle that is made when you draw a line straight down from the point like I have in the drawing

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anonymous
  • anonymous
we know the length of that side is one because we were told that y = 1
anonymous
  • anonymous
now if we knew the angle inside that triangle we could use the tangent function to find the length of the adjacent side, which I labelled x.
anonymous
  • anonymous
any idea how we can find it?
anonymous
  • anonymous
tan 3pi/4=1/x?
anonymous
  • anonymous
nope, you used the wrong angle, we need to find the angle inside that triangle
anonymous
  • anonymous
|dw:1350328078591:dw|
anonymous
  • anonymous
the 3pi / 4 is outside the triangle
anonymous
  • anonymous
If I use the Unit Circle and says that 3pi/4 is 135... and I am looking for that inside angle I get that it is equal to 45.
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anonymous
  • anonymous
right, so now we can use tangent to find x \[\tan(45) = \frac{ 1 }{ x }\]
anonymous
  • anonymous
isolate x and you've got it
anonymous
  • anonymous
x=-1?
anonymous
  • anonymous
yep!
anonymous
  • anonymous
got it... thanks!
anonymous
  • anonymous
how is x= -1?
anonymous
  • anonymous
So the point would be (-1, 1)?

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