Graphs of Trigonometric Functions

This lesson covers the graphs of four trigonometric functions: tangent, cotangent, cosecant, and secant. It explains how these graphs relate to the sine and cosine functions, highlighting key features such as asymptotes, periods, and the effects of transformations. The lesson also provides guidance on plotting these graphs and understanding their behavior in different quadrants.

What is the domain of the sine and cosine functions?

• Only integers

• Only negative numbers

• All real numbers

• Only positive numbers

Where is the tangent function undefined?

• Where neither sine nor cosine is zero

• Where sine is zero

• Where both sine and cosine are zero

• Where cosine is zero

In which quadrants is the tangent function positive?

• II and IV

• II and III

• I and III

• I and II

What is the period of the tangent function?

• 2π

• 4π

• π

• π/2

Where does the cotangent function have asymptotes?

• Where sine is zero

• Where neither sine nor cosine is zero

• Where both sine and cosine are zero

• Where cosine is zero

What is the period of the cosecant function?

• 2π

• π/2

• π

• 4π

How does a negative 'a' value affect the graph of a trigonometric function?

• It shifts the graph vertically

• It reflects the graph over the x-axis

• It shrinks the graph horizontally

• It stretches the graph vertically