Inverse Trig Functions

Front

What is the definition of inverse trigonometric functions?

Back

Inverse trigonometric functions are functions that reverse the action of the standard trigonometric functions, allowing us to find angles when given a ratio of sides.

Tags

CCSS.HSF.TF.B.7

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 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 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 value x in the domain of arcsin, sin(arcsin(x)) = x.

Front

What is the relationship between cos and arccos?

Back

For any value x in the domain of arccos, cos(arccos(x)) = x.

Front

What is the relationship between tan and arctan?

Back

For any value x in the domain of arctan, tan(arctan(x)) = x.

Tags

CCSS.HSF.BF.B.5

Front

What is the derivative of arcsin(x)?

Back

Front

What is the derivative of arccos(x)?

Back

Front

What is the derivative of arctan(x)?

Back