Tangent and Trigonometric Functions

The video tutorial explains how to find the domain and range of trigonometric functions, including sine, cosine, and tangent. It provides examples with transformations and discusses the impact of these transformations on the domain and range. The tutorial also covers the concept of vertical asymptotes for tangent functions and how to calculate them.

What is the domain of the sine function?

• All real numbers

• All integers

• All positive numbers

• All negative numbers

What is the range of the cosine function?

• Between -2 and 2, inclusive

• All real numbers

• Between 0 and 1, inclusive

• Between -1 and 1, inclusive

What is the domain of the tangent function?

• All real numbers except where there are vertical asymptotes

• All negative numbers

• All real numbers

• All positive numbers

What is the domain of the sine function?

• All integers

• All negative numbers

• All positive numbers

• All real numbers

What is the range of the cosine function?

• Between -2 and 2, inclusive

• Between 0 and 1, inclusive

• Between -1 and 1, inclusive

• All real numbers

What is the domain of the tangent function?

• All negative numbers

• All real numbers except where there are vertical asymptotes

• All real numbers

• All positive numbers

How do you find the range of a transformed sine function?

• By using limits

• By using derivatives

• By using inequalities

• By using integrals

What happens to the range of sine when you multiply it by a constant?

• The range becomes infinite

• The range is scaled by the constant

• The range remains the same

• The range becomes zero

What is the effect of adding a constant to a sine function?

• It shifts the range vertically

• It does not affect the range

• It scales the range

• It reflects the range

What is the domain of the function 3sin(5x) - 2?

• All integers

• All negative numbers

• All positive numbers

• All real numbers