Amplitude, Period, and Asymptotes in Trigonometric Functions

The video tutorial covers various aspects of trigonometric graphs, including amplitude, period, frequency, and maximum values. It explains how to find the period and frequency of trigonometric functions and discusses the behavior of graphs, including reciprocal functions. The tutorial also includes sketching and analyzing graphs, focusing on cosine, sine, and tangent functions. The session concludes with a discussion on tangent graphs.

What is the amplitude of a function if it oscillates 2 units above and below its midline?

• 1

• 2

• 3

• 4

In a sine function, what determines the amplitude?

• The frequency

• The constant term

• The coefficient of x

• The coefficient of sine

How do you calculate the period of a function y = a sin(Bx)?

• B/2π

• 2π/B

• B/a

• a/B

What is the period of a function with a coefficient of x as 1/3?

• 6π

• π/3

• 2π

• 3π

How many seconds does it take for a pendulum to complete one full cycle if T = π/3?

• 12

• 9

• 6

• 3

If the period of a function is 4π, what is the frequency?

• 1/4

• 1/2

• 2

• 4

What happens to a trigonometric graph when there is a negative sign in front of the function?

• It reflects over the y-axis

• It reflects over the x-axis

• It shifts down

• It shifts up

Which equation represents a cosine curve with an amplitude of 1?

• y = 2cos(x)

• y = 4cos(x)

• y = cos(x)

• y = 3cos(x)

What is the period of the function y = sin(3πx)?

• 2/3

• 3/2

• 3π/2

• 2π/3

What is the reciprocal of the sine function?

• Tangent

• Cosecant

• Secant

• Cotangent