Hey everyone, this is my first post so I just wanted to say hello before jumping right in.
I skimmed through the sticky and think I'm doing this right, if not just point me in the right direction! Now onto my question 
"Draw the unit circle and plot the point P=(3,2). Observe there are TWO lines tangent to the circle passing through the point P."
To help visualize, here is the according diagram as well:
I need to find the points of tangency on the circle and their equations through the point (3,2).
I'm struggling finding the points of tangency (once I do, I can construct the equations on my own). I have approached the problem by substituting the line y=mx+b into the circle equation of x^2 + y^2 = 1 and tried to work with the determinant but don't get the correct answer. Is it simpler/possible to approach this problem using angles? I used the distance equation and pythagorean theorem to solve for the length of all three sides of the triangle, but am unsure of how to proceed from there. Please help.
"Draw the unit circle and plot the point P=(3,2). Observe there are TWO lines tangent to the circle passing through the point P."
To help visualize, here is the according diagram as well:

I need to find the points of tangency on the circle and their equations through the point (3,2).
I'm struggling finding the points of tangency (once I do, I can construct the equations on my own). I have approached the problem by substituting the line y=mx+b into the circle equation of x^2 + y^2 = 1 and tried to work with the determinant but don't get the correct answer. Is it simpler/possible to approach this problem using angles? I used the distance equation and pythagorean theorem to solve for the length of all three sides of the triangle, but am unsure of how to proceed from there. Please help.