PreCal ZAP #2: Inverse Trig Functions

Front

What is the definition of an inverse trigonometric function?

Back

An inverse trigonometric function is a function that returns the angle whose trigonometric function value is a given number. For example, arcsin(x) returns the angle whose sine is x.

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 range of the arccos function?

Back

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

Front

What is the range of the arctan function?

Back

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

Front

Evaluate: arcsin(1)

Back

π/2.

Front

Evaluate: arccos(1)

Back

0.

Front

Evaluate: arctan(1)

Back

π/4.

Front

What is the relationship between sine and arcsine?

Back

If y = sin(x), then x = arcsin(y).

Front

What is the relationship between cosine and arccosine?

Back

If y = cos(x), then x = arccos(y).

Front

What is the relationship between tangent and arctangent?

Back

If y = tan(x), then x = arctan(y).