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marasofia1616
 2 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.
marasofia1616
 2 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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tjones89
 2 years ago
Best ResponseYou've already chosen the best response.5the 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

tjones89
 2 years ago
Best ResponseYou've already chosen the best response.5to 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

tjones89
 2 years ago
Best ResponseYou've already chosen the best response.5we know the length of that side is one because we were told that y = 1

tjones89
 2 years ago
Best ResponseYou've already chosen the best response.5now 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.

tjones89
 2 years ago
Best ResponseYou've already chosen the best response.5any idea how we can find it?

tjones89
 2 years ago
Best ResponseYou've already chosen the best response.5nope, you used the wrong angle, we need to find the angle inside that triangle

tjones89
 2 years ago
Best ResponseYou've already chosen the best response.5the 3pi / 4 is outside the triangle

marasofia1616
 2 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.

tjones89
 2 years ago
Best ResponseYou've already chosen the best response.5right, so now we can use tangent to find x \[\tan(45) = \frac{ 1 }{ x }\]

tjones89
 2 years ago
Best ResponseYou've already chosen the best response.5isolate x and you've got it

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

AG1997
 2 years ago
Best ResponseYou've already chosen the best response.0So the point would be (1, 1)?
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