Lesson 16 Graphing Tangent and Cotangent Functions

Front

What is the period of the tangent function?

Back

The period of the tangent function is π radians.

Front

What is the range of the tangent function?

Back

The range of the tangent function is all real numbers (-∞, ∞).

Front

What is the vertical asymptote of the tangent function?

Back

The vertical asymptotes of the tangent function occur at x = (π/2) + nπ, where n is any integer.

Front

How does the cotangent function relate to the tangent function?

Back

The cotangent function is the reciprocal of the tangent function: cot(x) = 1/tan(x).

Front

What is the period of the cotangent function?

Back

The period of the cotangent function is π radians.

Front

What is the range of the cotangent function?

Back

The range of the cotangent function is all real numbers (-∞, ∞).

Front

What are the vertical asymptotes of the cotangent function?

Back

The vertical asymptotes of the cotangent function occur at x = nπ, where n is any integer.

Front

How do you graph the tangent function?

Back

To graph the tangent function, plot points for key angles (0, π/4, π/2, etc.) and draw the curve, noting the vertical asymptotes.

Front

How do you graph the cotangent function?

Back

To graph the cotangent function, plot points for key angles (0, π/4, π/2, etc.) and draw the curve, noting the vertical asymptotes.

Front

What is the value of tan(π/4)?

Back

The value of tan(π/4) is 1.