Sine and Cosine Graphs

What is the general form of a sine function?

• 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.

• y = A cos(Bx + C) + D, where A is the amplitude, B affects the period, C is the phase shift, and D is the vertical shift.

• y = A tan(Bx + C) + D, where A is the amplitude, B affects the period, C is the phase shift, and D is the vertical shift.

• y = A sin(Bx) + D, where A is the amplitude and D is the vertical shift.

What is the maximum value of the function y = 5sin(x)?

• 3

• 4

• 5

• 6

How can the period of a sine or cosine graph be calculated?

• The period can be found using the formula 2π/B, where B is the coefficient of x.

• The period is always 2π regardless of the coefficient.

• The period can be calculated using the formula π/B.

• The period is determined by the amplitude of the graph.

What is the x-intercept of the function y = cos(x)?

• Even multiples of π/2

• Odd multiples of π/2

• All multiples of π

• π/4

What type of function is y = sin(x)?

• A periodic function with a period of 2π.

• A linear function with a slope of 1.

• An exponential function with a base of e.

• A quadratic function with a vertex at (0,0).

What is the general form of a cosine function?

• y = A sin(Bx + C) + D

• y = A cos(Bx + C) + D

• y = A tan(Bx + C) + D

• y = A cos(Bx) + D

What is the minimum value of the function y = -3cos(x)?

• -1

• 0

• -3

• 1

What is the amplitude of the function y=3sinx?

• 1

• 2

• 3

• 4

What is the period of the function y = sin(2x)?

• π/2

• π

• 2π

• 3π

What is the relationship between sine and cosine functions?

• Sine and cosine functions are phase-shifted versions of each other; sin(x) = cos(x - π/2).

• Sine and cosine functions are identical and can be used interchangeably.

• Sine is the derivative of cosine, and cosine is the derivative of sine.

• Sine and cosine functions are unrelated and represent different types of waveforms.