Graphs of Trigonometric Functions

Front

What is the equation of the graph for a cosine function with an amplitude of 6?

Back

y = 6 cos x

Front

What is the period of the function y = sin(kx) where k = 1/3?

Back

The period is 6π.

Front

What is the definition of secant function?

Back

The secant function, sec(x), is defined as the reciprocal of the cosine function: sec(x) = 1/cos(x).

Front

Identify the function graphed if it is shifted vertically by 2 units and is a cosecant function.

Back

y = 2csc(x) + 2

Front

What is the amplitude of the function y = -9sin(2x + 3π/2) + 5?

Back

The amplitude is 9.

Front

What is the general form of a sine function?

Back

The general form is y = A sin(Bx + C) + D, where A is the amplitude, B affects the period, C is the phase shift, and D is the vertical shift.

Front

How do you determine the period of a trigonometric function?

Back

The period of a function y = sin(Bx) or y = cos(Bx) is given by the formula: Period = 2π/|B|.

Front

What is the vertical shift in the function y = 3sin(x) - 4?

Back

The vertical shift is -4.

Front

What is the relationship between sine and cosine functions?

Back

The sine and cosine functions are phase-shifted versions of each other: sin(x) = cos(x - π/2).

Front

What is the amplitude of the function y = 4cos(x)?

Back

The amplitude is 4.