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anonymous
 3 years 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.
anonymous
 3 years 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.

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anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1350326762097:dw

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0the 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
 3 years ago
Best ResponseYou've already chosen the best response.0to 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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0we know the length of that side is one because we were told that y = 1

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0now 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
 3 years ago
Best ResponseYou've already chosen the best response.0any idea how we can find it?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0nope, you used the wrong angle, we need to find the angle inside that triangle

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1350328078591:dw

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0the 3pi / 4 is outside the triangle

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0If 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.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0right, so now we can use tangent to find x \[\tan(45) = \frac{ 1 }{ x }\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0isolate x and you've got it

anonymous
 2 years ago
Best ResponseYou've already chosen the best response.0So the point would be (1, 1)?
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