How do you determine the angle between two curved lines that intersect?

Answer 1

I guess you have to form tangents to both curves at the point of intersection and determine the angle between these tangents. That should be the angle between the curves at that point.

Answer 2

It would be best to get the tangents to each curved line at the point of intersection. Then determine the angle between the two tangents.

Answer 3

Graphically, you can draw lines tangent to the curves at the point of intersection, and measure the angle between.

If you know the equations of the two curves differentiate both and find the value of the derivatives at the point of intersection.These values will be the slopes of the tangent lines. The angles of each of these lines with the x-axis will be the inverse tangents of their slopes. Subtract the two angles to find the angle between the lines.

Answer 4

at the starting up, the tangent of a attitude in a properly triangle equals the alternative side to the attitude divided through the adjoining side. you may also receive the tangent through dividing the sinus of the attitude through its cosine. The slope of a line isn't some thing although the tangent of the attitude that the line varieties even as crossing the x axis of a orthonormal coordinate equipment. you may conceive that a properly triangle might want to be formed through the attitude and a perpendicular to the x axis and for this reason you'll receive a tangent equivalent to the quotient of the enormous difference between the y values divided through the enormous difference between the x values. 2d of all, a tangent can be a line that touches a curve or a circle precisely in a unmarried element without crossing it (I say without crossing it because it truly is a possibility for a curve, even although in a circle a line can't flow the circumference without being secant to it somewhat of tangent). A tangent line isn't an similar ingredient because the tangent of an attitude. The tangent is used a lot extra in mathematics than its kin the sinus and cosine. the completed branch of calculus is depending on the slope of a line (differentiation, integration). you'll study extra about slopes in case you proceed to study math, there is little question about it, newborn.