Inverse Trig Functions

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].

Front

What is the range of the arcsin function?

Back

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

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].

Front

What is the range of the arccos function?

Back

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

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.

Front

What is the range of the arctan function?

Back

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

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.

Front

What is the relationship between tan and arctan?

Back

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

Front

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

Back

0.5