# Find the x coordinate of the point...

Find the x coordinate of the point at which the tangent line to a circle centered at the origin intersects the x axis.

Consider the circle of radius 4 that's centered at the origin. Let P be a point which is on that circle but not on the y axis, and let Q be the point at which the line tangent to the circle at point P intersects the x axis. Express the x coordinate of Q in terms of the x coordinate of P.

Also, let theta be the angle (measured counterclockwise) whose initial side is the positive x axis and whose terminal side is the ray from the origin that passes through point P. Express the x coordinate of Q in terms of theta.

© SolutionLibrary Inc. solutionlibary.com April 2, 2020, 8:43 pm 9836dcf9d7 https://solutionlibrary.com/math/calculus-and-analysis/find-the-x-coordinate-of-the-point-jjaj