Exam (elaborations)
MAT1510 ASSIGNMENT 4 ANSWERS 2024
- Course
- MAT1510 (MAT1510)
- Institution
- University Of South Africa (Unisa)
MAT1510 ASSIGNMENT 4 ANSWERS 2024
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MAT1510ASSIGNMENT 4, 2024
ASSIGNMENT 04
Due date: Monday, 29 July 2024
Total Marks: 100
UNIQUE ASSIGNMENT NUMBER: 151133
MAY 19, 2024
[COMPANY NAME]
[Company address]
, ASSIGNMENT 04
QUESTION 1
(1.1)
(a) P(x,y) = (cos(7π/6), sin(7π/6)) = (-√3/2, -1/2)
(b) P(x,y) = (cos(-5π/6), sin(-5π/6)) = (√3/2, -1/2)
(c) P(x,y) = (cos(8π/3), sin(8π/3)) = (-1/2, √3/2)
(d) P(x,y) = (cos(3π/2), sin(3π/2)) = (0, -1)
(1.2)
(a) t = -7π/6 + (3π/2) = 5π/3
P(x,y) = (cos(5π/3), sin(5π/3)) = (-1/2, √3/2)
(b) t = 7π/6 + π = 19π/6
P(x,y) = (cos(19π/6), sin(19π/6)) = (√3/2, 1/2)
(c) t = 2π - 7π/6 = 5π/6
P(x,y) = (cos(5π/6), sin(5π/6)) = (√3/2, 1/2)
(d) t = 7π/6 - (3π/2) = -π/3
P(x,y) = (cos(-π/3), sin(-π/3)) = (1/2, -√3/2)
(1.3)
(a) Reference angle = 7π/8
(b) Reference angle = π/3
(c) Reference angle = π/2
(d) Reference angle = 5π/6
QUESTION 2
t sin(t −π) cos(t) sin(2π −t) cos(t +π) Smallest positive value of t
7π/4 -√2/2 -√2/2 √2/2 -√2/2 3π/4
QUESTION 3
To find the amplitude, period, and phase shift for each function, we'll
use the general forms of the sine and cosine functions and then sketch
the graph of one complete period.
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