Grade 12 Trigonometric Graphs Worksheet

Explore and analyze the graphs of sine, cosine, and tangent functions, including amplitude, period, phase shift, and vertical shift.

Grade 12 Math TrigonometryTrigonometric Graphs

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Multiple ChoiceFill in the BlanksShort AnswerCustomTrue / False

Standards

CCSS.MATH.CONTENT.HSF.TF.B.5CCSS.MATH.CONTENT.HSF.BF.B.3

Topics

TrigonometryGraphsSineCosineTangentGrade 12

7 sections · Free to use · Printable

Trigonometric Graphs: Grade 12

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Read each question carefully and provide your answer in the space provided. For graphing questions, use the coordinate plane provided.

1. What is the amplitude of the function y = 3sin(2x - π) + 1?

2. Which of the following functions has a period of π?

y = sin(x)

y = cos(2x)

y = tan(x)

y = sin(x/2)

3. The of a trigonometric function is half the distance between its maximum and minimum values.

4. A shift moves the entire graph of a trigonometric function horizontally.

5. Describe the effect of the parameter 'C' in the general form of a sinusoidal function y = A sin(Bx + C) + D.

6. Graph one full period of the function y = 2cos(x + π/2) - 1 on the coordinate plane below. Label the amplitude, period, and phase shift.

7. The graph of y = tan(x) has vertical asymptotes at x = nπ, where n is an integer.

True

False