Cosecant, Secant, Tangent, Cotangent Graphs

Front

What is the definition of the cosecant function?

Back

The cosecant function, denoted as csc(x), is the reciprocal of the sine function: csc(x) = 1/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: sec(x) = 1/cos(x).

Front

What is the definition of the tangent function?

Back

The tangent function, denoted as tan(x), is the ratio of the sine function to the cosine function: 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: cot(x) = 1/tan(x) = cos(x)/sin(x).

Front

What is the range of the cosecant function?

Back

The range of the cosecant function is (-∞, -1] ∪ [1, ∞).

Front

What is the range of the secant function?

Back

The range of the secant function is (-∞, -1] ∪ [1, ∞).

Front

What is the range of the tangent function?

Back

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

Front

What is the range of the cotangent function?

Back

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

Front

What are the zeros of the cosecant function?

Back

The cosecant function has no zeros, as it is undefined when sin(x) = 0.

Front

What are the zeros of the secant function?

Back

The secant function has no zeros, as it is undefined when cos(x) = 0.