Evaluating the Six Trigonometric Functions

Question 1

Which of the following describe the sine function? Check all that apply.

Revolt · Accepted Answer

B: Its period is .; D: Its domain is all real numbers.; E: Its maximum is 1.

Question 2

The domain is all real numbers for .

Revolt · Accepted Answer

C: both the sine and cosine function

Question 3

Complete the following statements for the cosine function shown in the graph.The minimum value is .

Revolt · Accepted Answer

B: –0.75

Question 4

The amplitude is .

Revolt · Accepted Answer

C: 0.75

Question 5

The graph shows the function .

Revolt · Accepted Answer

C: y = sin(x) – 6

Question 6

Identify the transformations needed to graph the cosine function y = –0.5cos(x) – 3 from the parent cosine function. Check all that apply.

Revolt · Accepted Answer

A: vertical compression by a factor of 0.5; C: vertical translation 3 units down; E: reflection across the x-axis

Question 7

Complete the following statements for the cosine function shown in the graph.The minimum value is .

Revolt · Accepted Answer

B: –0.75

Question 8

An equation for this function is .

Revolt · Accepted Answer

A: y = 0.75cos(x)

Question 9

Use the graph to identify the amplitude for each function shown.The amplitude of the function shown in orange is .

Revolt · Accepted Answer

F: 6

Question 10

Question 10

Revolt · Accepted Answer

To find the values of the six trigonometric functions for the angle θ with the terminal side passing through (5, 2), first identify the coordinates x  5 and y  2. Since the xcoordinate is positive and the ycoordinate is negative, the point is in Quadrant IV. Next, calculate the radius (r) using the Pythagorean theorem: r  √(5²  (2)²)  √(25  4)  √29. Then apply the trigonometric definitions:
sin(θ)  y/r  2/√29  2√29/29
cos(θ)  x/r  5/√29  5√29/29
tan(θ)  y/x  2/5
csc(θ)  r/y  √29/2
sec(θ)  r/x  √29/5
cot(θ)  x/y  5/2

Evaluating the Six Trigonometric Functions Answers

More from this Course

TRY EDGENUITY HACKS