Q:
# What does "tangent to the x axis" mean?

A tangent line is a line that touches but does not cross the graph of a function at a specific point. If a graph is tangent to the x-axis, the graph touches but does not cross the x-axis at some point on the graph.

Continue ReadingThe tangent of a circle always forms a 90 degree, or right angle, with the radius of the circle at that point. This tangent line is a geometric concept and should not be confused with the tangent of an angle from trigonometry. In trigonometry, the tangent, abbreviated tan, is the ratio of the sides of a triangle that are opposite and adjacent to a specific angle.

The tangent line is also an important concept in calculus. The first derivative in calculus is the slope of the tangent line at a specific point. This slope represents the instantaneous rate of change in a graph at that point. For example, in a graph of position versus time, the slope of the tangent line indicates the velocity at that specific moment in time. The x-axis is a horizontal line with a slope of zero. Therefore, if a graph is tangent to the x-axis, the graph has a slope of zero at that point.

Learn more about Trigonometry-
Q:
## How do you find the equation of the tangent line?

A: To find the equation of a line that is tangent to a curve, you must find a line with the same slope as that point of the curve. This can be done with a gra... Full Answer >Filed Under: -
Q:
## How do you calculate a horizontal tangent line?

A: A tangent is a line that intersects a curve at only one point and does not pass through it, such that its slope is equal to the curve's slope at that point... Full Answer >Filed Under: -
Q:
## What is the integral of secx?

A: The integral of sec(x) is the natural log of the absolute value of the secant of x plus the tangent of x, added to a constant. Using mathematical notation,... Full Answer >Filed Under: -
Q:
## What is the derivative of tan (x)?

A: The derivative of the tangent of x is the secant squared of x. This is proven using the derivative of sine, the derivative of cosine and the quotient rule.... Full Answer >Filed Under: