The tangent line (or simply the tangent) to a curve at a given point is the straight line that just touches the curve at that point. As it goes through the point where the tangent line and the curve meet, or the point of tangency, the tangent line is going in the same direction as the curve, and in this way it is the best straight-line approximation to the curve at that point.
The word tangent is derived from the Latin word "tangere". In Geometry, the tangent line has many applications in conic sections, circles, etc..
|Equation of Tangent Line Calculator||Calculator Tangent|
|Inverse Tangent||Calculator with Sine Cosine and Tangent|
Given below are the steps necessary to draw the circle's tangent line at a given point on it.
The tangent line equation for ellipse at (x1, y1) is given by `(x x_1)/a^2` +` (yy_1)/b^2` = 1
The tangent line equation for parabola at (x1, y1) is given by 2ax - y1y + 2ax1 = 0
Problem 1 : Construct geometric tangent line for the circle x^2+y^2 = 16 at the point (1,2)
Problem 2 : Construct geometric tangent line for the curve `(x ^2)/4^2` +` (y^2)/6^2` = 1 ellipse at the point (2.,5)
|Math Help Online||Online Math Tutor|