Comparing the graphs of the six trigonometric functions

The video tutorial covers the six trigonometric functions: sine, cosine, tangent, cosecant, secant, and cotangent. It explains their properties, such as amplitude, period, and domain, and discusses transformations. The tutorial highlights the similarities and differences between these functions, emphasizing the importance of understanding their graphs and behavior.

What role does parameter A play in the transformation of trigonometric functions?

• Vertical shift

• Horizontal stretching or compression

• Vertical stretching or compression

• Horizontal shift

Why do sine and cosine functions have an amplitude?

• They have absolute maximum and minimum values

• They have asymptotes

• They are always increasing

• They are unbounded functions

Which trigonometric function is even?

• Cosecant

• Tangent

• Cosine

• Sine

What is the period of the tangent function?

• π/2

• π

• 2π

• 2π/B

How are asymptotes related to the tangent function?

• They occur at the maximum points

• They occur at the minimum points

• They occur where the function is undefined

• They occur at the midpoint of the period

What is the relationship between cosecant and sine functions?

• Cosecant is the reciprocal of sine

• Cosecant is the inverse of sine

• Cosecant is the derivative of sine

• Cosecant is the integral of sine

What is the phase shift in trigonometric transformations?

• Period change

• Horizontal shift

• Vertical shift

• Amplitude change