Domain and Range of Functions

This video tutorial covers the domain and range of trigonometric and inverse trigonometric functions. It explains the concepts of domain and range, and how they apply to sine, cosine, and tangent functions. The video also discusses the inverse functions, highlighting the reversal of inputs and outputs, and provides a graphical analysis to understand these concepts better.

What is the domain of a function?

• The set of possible input values

• The set of possible y-values

• The set of possible output values

• The set of possible z-values

What is the range of a function?

• The set of possible output values

• The set of possible x-values

• The set of possible z-values

• The set of possible input values

What is the domain of the sine function?

• All numbers between -π and π

• All numbers between 0 and π

• All real numbers

• All numbers between -1 and 1

What is the range of the cosine function?

• All numbers between -π and π

• All numbers between 0 and π

• All real numbers

• All numbers between -1 and 1

What is the range of the tangent function?

• All numbers between -1 and 1

• All real numbers

• All numbers between 0 and π

• All numbers between -π and π

For which angles is the tangent function undefined?

• π/4 and 3π/4

• 0 and π

• π and 2π

• π/2 and 3π/2

What is the domain of the inverse sine function?

• All numbers between 0 and π

• All real numbers

• All numbers between -π and π

• All numbers between -1 and 1

What is the range of the inverse cosine function?

• All numbers between -π and π

• All numbers between 0 and π

• All real numbers

• All numbers between -1 and 1

What is the domain of the inverse tangent function?

• All real numbers

• All numbers between -π and π

• All numbers between -1 and 1

• All numbers between 0 and π

What is the range of the inverse tangent function?

• All numbers between 0 and π

• All real numbers

• All numbers between -π/2 and π/2

• All numbers between -1 and 1