Inverse Trig Functions on the Unit Circle

Front

What is the definition of arctan?

Back

Arctan, or inverse tangent, is a function that returns the angle whose tangent is a given 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 definition of arcsin?

Back

Arcsin, or inverse sine, is a function that returns the angle whose sine is a given number.

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?

Back

Arccos, or inverse cosine, is a function that returns the angle whose cosine is a given number.

Front

What is the range of the arccos function?

Back

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

Front

What is the value of arctan(-1)?

Back

-π/4.

Front

What is the value of arcsin(-√2/2)?

Back

-π/4.

Front

What is the value of arcsin(√3/2)?

Back

π/3.

Front

What is the value of arccos(√3/2)?

Back

π/6.