Front

What is the definition of arcsin(x)?

Back

The arcsin function, or inverse sine function, is defined as the function that returns the angle whose sine is x, where x is in the range [-1, 1].

Tags

CCSS.HSF-BF.B.4D

Front

What is the range of the arcsin function?

Back

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

Tags

CCSS.HSF-BF.B.4D

Front

What is the definition of arccos(x)?

Back

The arccos function, or inverse cosine function, is defined as the function that returns the angle whose cosine is x, where x is in the range [-1, 1].

Tags

CCSS.HSF.TF.A.2

Front

What is the range of the arccos function?

Back

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

Tags

CCSS.HSF-BF.B.4D

Front

What is the definition of arctan(x)?

Back

The arctan function, or inverse tangent function, is defined as the function that returns the angle whose tangent is x, where x is any real number.

Tags

CCSS.HSF.TF.B.7

Front

What is the range of the arctan function?

Back

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

Tags

CCSS.HSF-BF.B.4D

Front

What is the relationship between sin and arcsin?

Back

For any x in the range [-1, 1], sin[arcsin(x)] = x.

Front

What is the relationship between cos and arccos?

Back

For any x in the range [-1, 1], cos[arccos(x)] = x.

Tags

CCSS.HSF-BF.B.4A

Front

What is the relationship between tan and arctan?

Back

For any real number x, tan[arctan(x)] = x.

Tags

CCSS.HSF.IF.A.2

Front

What is the value of sin[arcsin(0.5)]?

Back

0.5

Tags

CCSS.HSF.TF.B.7