10/19 Evaluating Inverse Trigonometric Functions

Front

What is the definition of arcsin?

Back

The arcsin function, or inverse sine function, is defined as the function that returns the angle whose sine is a given number. It is denoted as arcsin(x) or sin^(-1)(x).

Front

What is the range of the arcsin function?

Back

The range of the arcsin function is [-90°, 90°] or [-π/2, π/2] in radians.

Front

What is the value of arcsin(0)?

Back

The value of arcsin(0) is 0°.

Front

What is the value of arcsin(\frac{\sqrt{2}}{2})?

Back

The value of arcsin(\frac{\sqrt{2}}{2}) is 45°.

Front

What is the definition of arccos?

Back

The arccos function, or inverse cosine function, is defined as the function that returns the angle whose cosine is a given number. It is denoted as arccos(x) or cos^(-1)(x).

Front

What is the range of the arccos function?

Back

The range of the arccos function is [0°, 180°] or [0, π] in radians.

Front

What is the value of arccos(0)?

Back

The value of arccos(0) is 90°.

Front

What is the value of arccos(-\frac{\sqrt{3}}{2})?

Back

The value of arccos(-\frac{\sqrt{3}}{2}) is 150° or \frac{5\pi}{6}.

Front

What is the definition of arctan?

Back

The arctan function, or inverse tangent function, is defined as the function that returns the angle whose tangent is a given number. It is denoted as arctan(x) or tan^(-1)(x).

Front

What is the range of the arctan function?

Back

The range of the arctan function is (-90°, 90°) or (-π/2, π/2) in radians.