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Understanding Trigonometric Functions from Graphs

Authored by Jason Counsel

Mathematics

12th Grade

Understanding Trigonometric Functions from Graphs
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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What trigonometric function is primarily discussed in the video?

Cosine

Sine

Tangent

Cotangent

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the midline (D value) calculated from the graph?

(Max + Min) / 2

Min / Max

(Max - Min) / 2

Max / Min

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the amplitude (A value) represent in the context of the graph?

Period of the function

Shift along the y-axis

Shift along the x-axis

Distance from the midline to the maximum

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the B value if the new period of the graph is 720 degrees?

360

2

1

0.5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What indicates a phase shift in the graph?

No maximum or minimum

Minimum at x = 0

Maximum at x = 0

Maximum not at x = 0

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the phase shift (C value) if the first maximum occurs at x = 90?

-90

0

90

180

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final equation of the cosine function derived in the video?

y = 2 cos(x - 90) - 2

y = 2 cos(0.5(x + 90)) + 2

y = cos(0.5(x - 90)) - 2

y = 2 cos(0.5(x - 90)) - 2

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