JABATAN MATEMATIK, SAINS & KOMPUTER
NAME
REG. NO
COURSE
COURSEWORK ASSESSMENT
CHAPTER
DURATION
DIS 15/TEST/S1
DBM1013 : ENGINEERING MATHEMATICS 1
TEST
2 & 3 -TRIGONOMETRY & COMPLEX NUMBER
CLO 1: Identify mathematical methods in solving the mathematical problems.
INSTRUCTION : ANSWER ALL QUESTIONS
QUESTION 1: TRIGONOMETRY
A. Based on the Figure 1 below, find the values of :
11
x
θ
4
i)
ii)
iii)
Figure 1
tan 𝜃
cosec 𝜃
cot 𝜃
( 3 marks)
(3 marks)
(3 marks)
B. Solve the trigonometric equation for 00 < 𝜃 < 3600
3 sin 2𝜃 − 1 = 1
(7 marks)
C. In the Figure 2 below, AB = 2.1 cm, AD = 5.6 cm, BD = 3.8 cm and BCD = 600. If given that
ABC is a straight line, find :
i)
ii)
ABD
( 5 marks)
( 4 marks)
The length of DC
D
5.6 cm
3.8 cm
600
A
2.1 cm
C
B
4
Figure 2
JABATAN MATEMATIK, SAINS & KOMPUTER
NAME
REG. NO
COURSE
COURSEWORK ASSESSMENT
CHAPTER
DURATION
DIS 15/TEST/S1
DBM1013 : ENGINEERING MATHEMATICS 1
TEST
2 & 3 -TRIGONOMETRY & COMPLEX NUMBER
QUESTION 2: COMPLEX NUMBER
A. Simplify the following complex number :
A.
i)
(6 - 13 i ) - (12 + 18i )
( 2 marks)
ii)
2+3𝑖
( 3 marks)
3
B.
B. Given that P = (-8 - 3i), Q = (-4 - 3i). Find the modulus, the argument and sketch the
Argand’s Diagram for :
i)
ii)
P
PQ
( 7 marks)
( 7 marks)
C. Find ZW if Z= ( 3 + 4i ) and W = ( 2-3i ). Then give your answer in:
i)
Polar form
ii)
Exponential form
( 6 marks)
C.
TOTAL MARKS : 50 MARKS
Prepared By:
NOORHASLINA BINTI AZANI
PENSYARAH
JABATAN MATEMATIK, SAINS DAN
KOMPUTER,
POLITEKNIK MELAKA
Checked By :
Approved By: