← Lesson📄 Worksheet✅ Memo📝 Exam test🗝️ Marking guide
∑ DANEMATHICS
FREE CAPS MATHS RESOURCES
Grade 10 · Functions & Graphs
Trigonometric Graphs (Grade 10)
WORKSHEET
Name: 
Class: 
Date: 
Mark
  / 16

Answer all questions. Show all your working — marks are awarded for method as well as the final answer.

  1. 1
    Write down the amplitude of y = 2 sin x.
    (2)
    90°180°270°360°-2-112xyy = sin xy = 2 sin x
  2. 2
    Write down the period of y = sin x.
    (2)
    90°180°270°360°-11xyy = sin xy = cos x
  3. 3
    Write down the range of y = 2 sin x + 1.
    (2)
  4. 4
    Describe the transformation from y = cos x to y = cos x + 1.
    (2)
    90°180°270°360°-2-112xyy = cos xy = cos x + 1
  5. 5
    Write down the equations of the asymptotes of y = tan x for x ∈ [0° ; 360°].
    (2)
    90°180°270°360°-4-224xyy = tan x
  6. 6
    Write down the maximum value of y = 3 cos x − 1.
    (2)
  7. 7
    For what value of x in [0° ; 360°] does y = sin x reach its minimum?
    (2)
    90°180°270°360°-11xyy = sin xy = cos x
  8. 8
    What does a negative value of a do to y = a sin x?
    (2)
TOTAL: 16 marks
© Danemathics — free to print and share for classroom use.danemathics.com

Printing this sheet

  1. In the print dialog open More settings and untick “Headers and footers” — that is what prints the date, time and web address in the margin.
  2. Leave Pages per sheet on 1 so learners keep the full writing space.
  3. Choose Save as PDF as the destination to download it instead of printing.