Does a tan graph have a period?

Does a tan graph have a period?

Does a tan graph have a period?

Analyzing the Graph of y = tan x and Its Variations. The period of the tangent function is π because the graph repeats itself on intervals of kπ where k is a constant.

What is the period of tan θ?

1 Answer. We seek to prove that tanθ has period π .

What is the period of tan 2x?


The period of tan2x is 2π.

What is the period of tangent and cotangent?

From the graphs of the tangent and cotangent functions, we see that the period of tangent and cotangent are both π \pi π.

What is the period of tan 3x?

π/3 radians
The graph of tan3x is narrower than the graph of tan x. We know that the period of tan x is π radians and the period of tan bx is given by π/|b|. Hence the period of tan3x is π/3 radians.

How to find the period of the tangent?

x -intercept : n π , where n is an integer. The tangent function does not have an amplitude because it has no maximum or minimum value. The period of a tangent function, y = a tan ( b x) , is the distance between any two consecutive vertical asymptotes. Also see Trigonometric Functions .

What is the usual period of a tangent?

The standard period of a tangent function is radians. In other words, it completes its entire cycle of values in that many radians. To alter the period of the function, you need to alter the value of the parameter of the trigonometric function.

How do you find the period of tangent function?

solution. Locate two zeros that delimit a whole cycle or an integer number of cycles.

  • solution. There is one cycle from the zero at x = -π/4 to the zero at x = π/4.
  • solution. There are two zeros that delimit half a cycle.
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  • The tangent and cotangent graphs satisfy the following properties: range: (− ∞, ∞) (-infty, infty) (− ∞, ∞) period: π pi π both are odd functions. From the graphs of the tangent and cotangent functions, we see that the period of tangent and cotangent are both π pi π.In trigonometric identities, we will see how to prove the periodicity of these functions using trigonometric