Graphing Trigonometric Functions Concepts

This video tutorial covers how to graph tangent and cotangent functions, including transformations such as stretching and shifting. It explains the use of the unit circle to understand these graphs and provides methods for graphing transformed functions. The video also includes practice examples and additional resources for further learning.

What is the primary focus of this video tutorial?

• Solving quadratic equations

• Graphing tangent and cotangent functions with transformations

• Graphing linear functions

• Understanding logarithmic functions

In the unit circle, how is the tangent of an angle calculated?

• x-coordinate divided by y-coordinate

• y-coordinate divided by x-coordinate

• x-coordinate multiplied by y-coordinate

• y-coordinate minus x-coordinate

What is the period of the basic tangent function?

• 2π

• π

• π/2

• 4π

Which method involves using the B value to determine the period of a tangent function?

• Table method

• Graphical method

• B value method

• Algebraic method

How does a vertical stretch affect the graph of a tangent function?

• It multiplies all y-values by a factor

• It reflects the graph over the x-axis

• It changes the period of the graph

• It shifts the graph horizontally

What is the reciprocal of the tangent function?

• Cotangent

• Cosine

• Secant

• Sine

For cotangent, what is the range of values used in the unit circle?

• -π to π

• -π/2 to π/2

• 0 to 2π

• 0 to π

How does a negative sign in front of a cotangent function affect its graph?

• It reflects the graph over the x-axis

• It shifts the graph up

• It stretches the graph vertically

• It compresses the graph horizontally

What is the effect of adding a constant to the x-value in a cotangent function?

• Reflection over the y-axis

• Vertical shift

• Horizontal shift

• Vertical stretch

What is the domain of a cotangent function?

• All real numbers

• All real numbers except where vertical asymptotes occur

• Only positive numbers

• Only negative numbers