Trigonometric Graphs (Grade 11) — Worksheet & Memo

∑ DANEMATHICS

FREE CAPS MATHS RESOURCES

Grade 11 · Trigonometry

Trigonometric Graphs (Grade 11)

WORKSHEET

Name:

Class:

Date:

Mark

/ 20

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

1
Write down the amplitude of y = 2 sin x.
(1)
2
Write down the period of y = sin 2x.
(1)
3
Write down the range of y = 2 sin x.
(2)
4
Describe the transformation from y = cos x to y = cos(x + 60°).
(2)
5
Write down the period of y = tan 2x.
(1)
6
Write down the equations of the asymptotes of y = tan x for x ∈ [0° ; 360°].
(2)
7
How many complete cycles does y = sin 2x complete in [0° ; 360°]?
(1)
8
Write down the range of y = tan x.
(1)
9
For y = 4 sin 3x, write down the amplitude and the period, and state how many complete waves appear in [0° ; 360°].
(3)
10
Describe fully the transformation from y = cos x to y = −2 cos(x + 45°).
(3)
11
The graph of y = a sin kx, where a > 0 and k > 0, has amplitude 5 and period 90°. Determine a and k, and write down the equation.
(3)

TOTAL: 20 marks