Question

Find the point on the terminal side of θ = 3π/4 that has a y coordinate of 1.

Can somebody walk me through this? I don't really understand.

Answer 1

ur point is in the second coordinate

Answer 2

right?

Answer 3

3π/4=π/2+π/4

Answer 4

OK, I think I partly solved the problem. Would you mind telling me if I am correct or not?

Answer 5

ok go on

Answer 6

Using the unit circle, we know that the line on the second quadrant comes together with the line of the terminal side of θ to create a 45 degree angle. Am I correct so far?

Answer 7

u r right

Answer 8

Next, since I know the length of the side of the triangle is 1 (y=1).

Answer 9

I can use the tan function to get the other side.

tan 45 = 1/x.

Answer 10

ya

Answer 11

x is the adjacent side of θ that we are looking for.

Answer 12

so x = 1?

Answer 13

and that solved the problem, right?

Answer 14

u know ur point is in the second quadrunt

Answer 15

x=-1

Answer 16

Oh, I am confused now. How would that get along with the equation?

Answer 17

Like tan 45 = 1/x. How do I get x = -1 on that?

Answer 18

Or I will just get x = 1 and then tell since it's in the second quadrant, x = -1?

Answer 19

u know all value of x in the second quadrunt in negative

Answer 20

So I will go with "I will just get x = 1 and then tell since it's in the second quadrant, x = -1" ?

Answer 21

ys

Answer 22

OK, I got it. Thank you so much for sticking with me. I appreciate it a lot!

Answer 23

i also enjoyed it