Lesson 19 Inverse Trigonometric Functions

Front

What are inverse trigonometric functions?

Back

Inverse trigonometric functions are functions that reverse the action of the standard trigonometric functions. They are used to find angles when the values of the trigonometric functions are known.

Front

List the main inverse trigonometric functions.

Back

The main inverse trigonometric functions are: 1. Arcsine (sin^-1) 2. Arccosine (cos^-1) 3. Arctangent (tan^-1) 4. Arccosecant (csc^-1) 5. Arcsecant (sec^-1) 6. ArcCotangent (cot^-1)

Front

What is the range of the arcsine function?

Back

The range of the arcsine function (sin^-1) is [-90°, 90°] or [-π/2, π/2] in radians.

Front

What is the range of the arccosine function?

Back

The range of the arccosine function (cos^-1) is [0°, 180°] or [0, π] in radians.

Front

What is the range of the arctangent function?

Back

The range of the arctangent function (tan^-1) is (-90°, 90°) or (-π/2, π/2) in radians.

Front

How do you find the value of arcsin(0.5)?

Back

Front

How do you find the value of arccos(0)?

Back

Front

How do you find the value of arctan(1)?

Back

Front

What is the relationship between trigonometric functions and their inverses?

Back

Front

What is the domain of the arcsine function?

Back

The domain of the arcsine function (sin^-1) is [-1, 1].