Question

Assistance with making a function that gives the direction with point (3,0) to a point on the unit circle.

Answer 1

I don't understand. Are you needing to write a function from point (3,0) to a point on the unit circle?

Answer 2

ill write it word for word

Answer 3

I really hope this isn't vectors...

Answer 4

define a funtion that gives the ditance from the point P(3,0) to a point on the unit circle. state domain and range of this funtion

Answer 5

im dealing with this and im only on day 2 of calc AB D:

Answer 6

Oh, I think I got that. Maybe. The unit circle is a circle with a radius of 1 all around.

Answer 7

yes
i was trying to get point (1,0)

Answer 8

but i cant think of a funtion that gets me (1,0) AND (3,0)

Answer 9

From point (3,0) you have this:

Answer 10

isnt that a tangent line though

Answer 11

or are my eys failing me

Answer 12

Yes, it is. But isnt the line supposed to just touch on the unit circle?

Answer 13

that is a tangent line

Answer 14

it siad to a point on a unit circle

Answer 15

tangents dont necesaily touch it right?

Answer 16

a point on the unit circle will be a tangent line. It' ON the circle not INSIDE the circle. Tangents most definitely DO touch it.

Answer 17

Ah kk

Answer 18

So we need to find an equation for that line. We could have drawn the line to the lower half of the circle, but I just picked the upper half.

Answer 19

how would we go about doing that

Answer 20

It doesn't even have to touch there.

Answer 21

It could look like this, which might actually be easier:

Answer 22

Or even simpler:

Answer 23

mind telling me how u do those things and how u get the functions for them?

Answer 24

nvm i figured

Answer 25

Ok if you extend that line out it would intercept the y axis at 1 with a slope of -1/3. So the equation is y = -1/3x + 1

Answer 26

Ah thank you so much