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The tangent of an angle theta is defined as sine(theta) divided by cosine(theta). Since the sine and cosine are Y and X on the unit circle, then tangent(theta) is Y divided by X.

The tangent of a function at a point is the line going through that point which has slope equal to the first deriviative of the function at that point.

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Q: How is tangent defined?
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Related questions

What is the definition of a tangent function?

Tangent (theta) is defined as sine (theta) divided by cosine (theta). In a right triangle, it is also defined as opposite (Y) divided by adjacent (X).


What t-word is defined in geometry as a straight line that touches a curve?

tangent


What t-word is defined in geometry as a strait line that touches a curve?

tangent


How do you relate tangent graph with the math error in calculation of direction of resultant vector?

The tangent function will generate a calculator "math error" if the angle in questin is ±90 degrees. For these angles, the tangent function is not defined.


Why do slope denoteb by tangent function?

The slope of a line and the tangent of the angle between the positive x-axis and the line are related because the tangent of the angle is defined as the ratio of the y-coordinate and the x-coordinate of some point on the line.


Short-lived velocity defined as the slope of the tangent line at a given point on a curve?

instantaneous


Is tangent ever undefined?

Yes. the tangents of odd multiples of pi/2 radians are not defined.


What T-word is defined in geometry as a straight line that touches a curve but continue on with crossing?

Tangent


What T-word is defined in geometry as a straight line that that touches a curve but continues on without crossing?

It is a tangent line


Does a secant and a tangent have points?

Yes. Both are defined on all points other than odd multiples of 90 degrees.


What does the tangent of infinity equal?

The tangent of infinity is undefined because it is not a real number. The tangent function is defined as the ratio of the side opposite a given angle to the side adjacent to the angle in a right triangle. Since infinity is an abstract concept which has no physical representation, it is not possible to measure the sides of a triangle with an infinite length. Therefore, the tangent of infinity is undefined.


Find an equation of the line tangent to the curve defined by x^2+3xy+y^4=32 at the point (2,2)?

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