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You find the smallest positive value y such that

tan(x + y) = tan(x) for all x.

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Q: How do you find the period of tangent function?
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How do you find the slope of a tangent?

Take the derivative of the function.


What is the period for the tangent function?

it depends on what b is in the equation. Period = 360 degrees / absolute value of b.


Find the slope of a tangent line to the graph?

Use the four-step process to find the slope of the tangent line to the graph of the given function at any point.


What is an easy equation for finding the normal line?

The first thing you may want to do would be to find the tangent line to the function. The tangent line is a line that passes through a given point on a function, but does not touch any other point on the function (assuming the function is one to one). Assuming you have the tangent line, the normal line is simply perpendicular to the tangent line- it forms a 90 degree angle with the tangent line. One you have the tangent line and the point which it passes through, you can find the normal line. To obtain the perpendicular line to any function, take the inverse reciprocal of the slope (if your slope was 2, it is now -.5). After that, plug in your (x, y) coordinate, and you can solve for the constant b (assuming there is one). This should give the normal line to a tangent of at a point on a function.


Why does the period of tan x equals pi?

The period of the tangent function, tan(x), is π because the tangent function has a repeating pattern every π units. This is due to the nature of the tangent function, which has vertical asymptotes at intervals of π. As x increases by π, the tangent function repeats its values, resulting in a period of π for the function.

Related questions

How do you find the slope of a tangent?

Take the derivative of the function.


What is the period for the tangent function?

it depends on what b is in the equation. Period = 360 degrees / absolute value of b.


What is the graph of tangent functio is periodic at?

The graph of the tangent function is periodic at every point. Periodic means that the value of the function at every point is repeated after an integer multiple of the period.


Why tangent 360 degree is equal to zero?

The tangent function is a periodic function with period 180 degrees sotan(360) = tan(360-2*180) = tan(0) = 0.


Is the tangent function periodic?

Yes, the tangent function is periodic.


Find the slope of a tangent line to the graph?

Use the four-step process to find the slope of the tangent line to the graph of the given function at any point.


What is the period of y equals tan2x?

The period of the tangent function is PI. The period of y= tan(2x) is PI over the coefficient of x = PI/2


How do you get a tangent of 1?

To find the tangent of 1, you can use the inverse tangent function (arctan) on a calculator. Simply input 1 into the arctan function and calculate the result. The tangent of 1 is approximately 0.7854.


How do you find whether a tangent line is vertical to a function?

A tangent line is NEVER vertical to a function. It is vertical to the normal to the function - which is as far from vertical as you can get!The graph of a function, f(x) can have a tangent at a point. Let's call the point (x0,f(x0)). If f'(x) goes to positive infinity or f'(x) goes to negative infinity as x approaches x0 then f(x) has a vertical tangent at that point.


What is an easy equation for finding the normal line?

The first thing you may want to do would be to find the tangent line to the function. The tangent line is a line that passes through a given point on a function, but does not touch any other point on the function (assuming the function is one to one). Assuming you have the tangent line, the normal line is simply perpendicular to the tangent line- it forms a 90 degree angle with the tangent line. One you have the tangent line and the point which it passes through, you can find the normal line. To obtain the perpendicular line to any function, take the inverse reciprocal of the slope (if your slope was 2, it is now -.5). After that, plug in your (x, y) coordinate, and you can solve for the constant b (assuming there is one). This should give the normal line to a tangent of at a point on a function.


Is tangent an even function?

No.


Why does the period of tan x equals pi?

The period of the tangent function, tan(x), is π because the tangent function has a repeating pattern every π units. This is due to the nature of the tangent function, which has vertical asymptotes at intervals of π. As x increases by π, the tangent function repeats its values, resulting in a period of π for the function.