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Find the point on the terminal side of θ =3pie/4 that has a y coordinate of 1. Show your work for full credit.
 one year ago
 one year ago
Find the point on the terminal side of θ =3pie/4 that has a y coordinate of 1. Show your work for full credit.
 one year ago
 one year ago

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tjones89Best ResponseYou've already chosen the best response.3
dw:1350326762097:dw
 one year ago

tjones89Best 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
 one year ago

tjones89Best 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
 one year ago

tjones89Best ResponseYou've already chosen the best response.3
we know the length of that side is one because we were told that y = 1
 one year ago

tjones89Best 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.
 one year ago

tjones89Best ResponseYou've already chosen the best response.3
any idea how we can find it?
 one year ago

tjones89Best ResponseYou've already chosen the best response.3
nope, you used the wrong angle, we need to find the angle inside that triangle
 one year ago

tjones89Best ResponseYou've already chosen the best response.3
dw:1350328078591:dw
 one year ago

tjones89Best ResponseYou've already chosen the best response.3
the 3pi / 4 is outside the triangle
 one year ago

marasofia1616Best 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.
 one year ago

tjones89Best ResponseYou've already chosen the best response.3
right, so now we can use tangent to find x \[\tan(45) = \frac{ 1 }{ x }\]
 one year ago

tjones89Best ResponseYou've already chosen the best response.3
isolate x and you've got it
 one year ago

marasofia1616Best ResponseYou've already chosen the best response.0
got it... thanks!
 one year ago

AG1997Best ResponseYou've already chosen the best response.0
So the point would be (1, 1)?
 9 months ago
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