Tangent, Cotangent, Secant & Cosecant Graphs

Front

What is the definition of the tangent function?

Back

The tangent function, denoted as tan(x), is defined as the ratio of the opposite side to the adjacent side in a right triangle. It can also be expressed as tan(x) = sin(x)/cos(x).

Front

What is the definition of the cotangent function?

Back

The cotangent function, denoted as cot(x), is the reciprocal of the tangent function. It is defined as cot(x) = 1/tan(x) = cos(x)/sin(x).

Front

What is the definition of the secant function?

Back

The secant function, denoted as sec(x), is the reciprocal of the cosine function. It is defined as sec(x) = 1/cos(x).

Front

What is the definition of the cosecant function?

Back

The cosecant function, denoted as csc(x), is the reciprocal of the sine function. It is defined as csc(x) = 1/sin(x).

Front

What is the period of the tangent function?

Back

Front

What is the period of the cotangent function?

Back

Front

What is the period of the secant function?

Back

Front

What is the period of the cosecant function?

Back

Front

Which functions have a period of 2π?

Back

The sine, cosine, secant, and cosecant functions have a period of 2π.

Front

Which function does NOT have a period of 2π?

Back

The tangent function does NOT have a period of 2π; it has a period of π.