Inverse Trigonometric Functions

Front

What is the definition of inverse trigonometric functions?

Back

Inverse trigonometric functions are functions that determine the angle whose trigonometric ratio is a given number. They are denoted as sin^–1, cos^–1, and tan^–1.

Front

What is the range of the inverse tangent function, tan^–1(x)?

Back

The range of the inverse tangent function, tan^–1(x), is (–π/2, π/2).

Front

How do you find the angle using the inverse tangent function?

Back

To find the angle, use the formula x = tan^–1(opposite/adjacent).

Front

What is the relationship between the tangent and its inverse?

Back

If y = tan(x), then x = tan^–1(y).

Front

What is the formula to convert from degrees to radians?

Back

To convert degrees to radians, use the formula: radians = degrees × (π/180).

Front

What is the value of tan^–1(1)?

Back

The value of tan^–1(1) is π/4 or 45 degrees.

Front

How do you solve for an angle using the equation x = tan^–1(24/7)?

Back

Calculate the angle by finding the arctangent of 24/7 using a calculator or trigonometric table.

Front

What is the approximate value of tan^–1(0.5)?

Back

The approximate value of tan^–1(0.5) is 26.57 degrees.

Front

What is the domain of the inverse sine function, sin^–1(x)?

Back

The domain of sin^–1(x) is [-1, 1].

Front

What is the value of sin^–1(0)?

Back

The value of sin^–1(0) is 0 degrees.