Inverse Trig Functions

Front

What is the definition of the inverse tangent function?

Back

The inverse tangent function, denoted as tan^-1 or arctan, is the function that returns the angle whose tangent is a given number.

Front

What is the range of the inverse tangent function?

Back

The range of the inverse tangent function is (-π/2, π/2).

Tags

CCSS.HSF-BF.B.4D

Front

What is the relationship between the sine and its inverse function?

Back

The sine function maps angles to values between -1 and 1, while its inverse function, sin^-1 or arcsin, maps values in that range back to angles in the range [-π/2, π/2].

Tags

CCSS.HSF-BF.B.4D

Front

What is the definition of the inverse sine function?

Back

The inverse sine function, denoted as sin^-1 or arcsin, is the function that returns the angle whose sine is a given number.

Tags

CCSS.HSF-BF.B.4D

Front

What is the definition of the inverse cosine function?

Back

The inverse cosine function, denoted as cos^-1 or arccos, is the function that returns the angle whose cosine is a given number.

Tags

CCSS.HSF.TF.B.7

Front

What is the range of the inverse sine function?

Back

The range of the inverse sine function is [-π/2, π/2].

Tags

CCSS.HSF-BF.B.4D

Front

What is the range of the inverse cosine function?

Back

The range of the inverse cosine function is [0, π].

Tags

CCSS.HSF-BF.B.4D

Front

What is the definition of the inverse cosecant function?

Back

The inverse cosecant function, denoted as csc^-1 or arccsc, is the function that returns the angle whose cosecant is a given number.

Tags

CCSS.HSF.TF.B.7

Front

What is the range of the inverse cosecant function?

Back

The range of the inverse cosecant function is (-π/2, 0) ∪ (0, π/2).

Tags

CCSS.HSF-BF.B.4D

Front

What is the relationship between the cosine and its inverse function?

Back

The cosine function maps angles to values between -1 and 1, while its inverse function, cos^-1 or arccos, maps values in that range back to angles in the range [0, π].

Tags

CCSS.HSF.BF.B.5