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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.
