← Lesson📄 Worksheet✅ Memo📝 Exam test🗝️ Marking guide
∑ DANEMATHICS
FREE CAPS MATHS RESOURCES
Grade 11 · Trigonometry
Trigonometric Graphs (Grade 11)
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)
    -360°-180°180°360°-2-112xyy = sin xy = 2 sin x
  2. 2
    Write down the period of y = sin 2x.
    (2)
    -360°-180°180°360°-11xyy = sin xy = sin 2x
  3. 3
    Write down the range of y = 2 sin x.
    (2)
  4. 4
    Describe the transformation from y = cos x to y = cos(x + 60°).
    (2)
    -360°-180°180°360°-11xyy = cos xy = cos(x + 60°)
  5. 5
    Write down the period of y = tan 2x.
    (2)
  6. 6
    Write down the equations of the asymptotes of y = tan x for x ∈ [0° ; 360°].
    (2)
    -360°-180°180°360°-4-224xyy = tan x
  7. 7
    How many complete cycles does y = sin 2x complete in [0° ; 360°]?
    (2)
  8. 8
    Write down the range of y = tan 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.