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Mathematics Worksheet

📈 Graphs of Trig Functions

Chapter: Trigonometry · Level ★★☆ · Time: 30 min
SCORE___ / 20
NameClassDate
After this worksheet you can
Find the amplitude of a sine or cosine graph.Find the period using 360°/B.Find maximum and minimum values.Identify key graph features.

🧠 Section A · Concept Check ● BEGINNER 4 × 1 = 4

1The amplitude of y = 7cos(x) is:
2The period of y = sin(4x) is:
3The period of y = cos(x/2) is:
4The minimum value of y = 6sin(x) is:
y = sin(x) over one full period (0 to 2π)

🧮 Section B · Problem Solving ● INTERMEDIATE 2 + 3×3 = 11

5The amplitude of y = A sin(Bx) is .
6The period of y = sin(Bx) is .
7Find the amplitude of y = 7cos(x).
8Find the period of y = sin(4x).
9Find the period of y = cos(x/2).

🚀 Section C · Challenge ● CHALLENGE 5

10Find the minimum value of y = 6sin(x).
💭 Reflection — the most useful thing I learned:
A ___/4   B ___/11   C ___/5   Total ___/20 Teacher's Signature Parent's Signature
✂ answer key — fold or cut before handing out

1-A   2-A   3-A   4-A  |  5 |A|   6 360°/B   7 = 7   8 = 90°   9 = 720°  |  10 = −6

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