Inverse Trig Functions

Front

Define inverse trigonometric functions.

Back

Inverse trigonometric functions are functions that return the angle whose trigonometric function value is a given number. They include arcsin, arccos, and arctan.

Front

What is the range of arcsin(x)?

Back

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

Front

What is the range of arccos(x)?

Back

The range of arccos(x) is [0, π].

Front

What is the range of arctan(x)?

Back

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

Front

Evaluate arcsin(1).

Back

π/2.

Front

Evaluate arcsin(0).

Back

0.

Front

Evaluate arccos(1).

Back

0.

Front

Evaluate arctan(1).

Back

π/4.

Front

What is the relationship between sin and arcsin?

Back

If y = arcsin(x), then sin(y) = x for x in [-1, 1].

Front

What is the relationship between cos and arccos?

Back

If y = arccos(x), then cos(y) = x for x in [-1, 1].