4.7 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.

Front

What is the range of the arcsin function?

Back

The range of y = arcsin(x) is [-π/2, π/2].

Front

What is the domain of the arccos function?

Back

The domain of y = arccos(x) is [-1, 1].

Front

What is the range of the arccos function?

Back

The range of y = arccos(x) is [0, π].

Front

What is the domain of the arctan function?

Back

The domain of y = arctan(x) is all real numbers (-∞, ∞).

Front

What is the range of the arctan function?

Back

The range of y = arctan(x) is (-π/2, π/2).

Front

Evaluate: tan^-1(1)

Back

π/4.

Front

Evaluate: sin^-1(0)

Back

0.

Front

Evaluate: cos^-1(0)

Back

π/2.

Front

What is the value of csc^-1(1)?

Back

π/2.