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marasofia1616
Group Title
Find the point on the terminal side of θ =3pie/4 that has a y coordinate of 1. Show your work for full credit.
 2 years ago
 2 years ago
marasofia1616 Group Title
Find the point on the terminal side of θ =3pie/4 that has a y coordinate of 1. Show your work for full credit.
 2 years ago
 2 years ago

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tjones89 Group TitleBest ResponseYou've already chosen the best response.3
dw:1350326762097:dw
 2 years ago

tjones89 Group TitleBest ResponseYou've already chosen the best response.3
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
 2 years ago

tjones89 Group TitleBest ResponseYou've already chosen the best response.3
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
 2 years ago

tjones89 Group TitleBest ResponseYou've already chosen the best response.3
we know the length of that side is one because we were told that y = 1
 2 years ago

tjones89 Group TitleBest ResponseYou've already chosen the best response.3
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.
 2 years ago

tjones89 Group TitleBest ResponseYou've already chosen the best response.3
any idea how we can find it?
 2 years ago

marasofia1616 Group TitleBest ResponseYou've already chosen the best response.0
tan 3pi/4=1/x?
 2 years ago

tjones89 Group TitleBest ResponseYou've already chosen the best response.3
nope, you used the wrong angle, we need to find the angle inside that triangle
 2 years ago

tjones89 Group TitleBest ResponseYou've already chosen the best response.3
dw:1350328078591:dw
 2 years ago

tjones89 Group TitleBest ResponseYou've already chosen the best response.3
the 3pi / 4 is outside the triangle
 2 years ago

marasofia1616 Group TitleBest ResponseYou've already chosen the best response.0
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.
 2 years ago

tjones89 Group TitleBest ResponseYou've already chosen the best response.3
right, so now we can use tangent to find x \[\tan(45) = \frac{ 1 }{ x }\]
 2 years ago

tjones89 Group TitleBest ResponseYou've already chosen the best response.3
isolate x and you've got it
 2 years ago

marasofia1616 Group TitleBest ResponseYou've already chosen the best response.0
x=1?
 2 years ago

marasofia1616 Group TitleBest ResponseYou've already chosen the best response.0
got it... thanks!
 2 years ago

lbouskila Group TitleBest ResponseYou've already chosen the best response.0
how is x= 1?
 one year ago

AG1997 Group TitleBest ResponseYou've already chosen the best response.0
So the point would be (1, 1)?
 one year ago
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