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).

Tags

CCSS.HSF-BF.B.4D

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.

Tags

CCSS.HSF-BF.B.4D

Front

What is the value of arcsin(0)?

Back

The value of arcsin(0) is 0°.

Tags

CCSS.HSF.TF.B.7

Front

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

Back

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

Tags

CCSS.HSF.TF.B.7

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).

Tags

CCSS.HSF.TF.B.7

Front

What is the range of the arccos function?

Back

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

Tags

CCSS.HSF-BF.B.4D

Front

What is the value of arccos(0)?

Back

The value of arccos(0) is 90°.

Tags

CCSS.HSF.TF.B.7

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}.

Tags

CCSS.HSF.TF.B.7

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).

Tags

CCSS.HSF-BF.B.4D

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.

Tags

CCSS.HSF-BF.B.4D