Download Paper 1 - Objective - Penang Free School

PENANG FREE SCHOOL
MATHEMATICS ELECTIVES- ADDITIONAL MATHEMATICS
DAVID CHNG YEANG SOON.
Try the following Questions. The answers are provided at the end of the questions.
Topic 5 Easy.
Name: ………………………………………..
Class:…………………..
1.
Find all the values of x that satisfy the trigonometric equation 6 sin x cos x = 2 cos x
[4 marks]
for 0 ≤ x ≤ 360.
2.
Find all the values of x that satisfy the trigonometric equation 11 sin x cos x = 6 cos x
[4 marks]
for 0 ≤ x ≤ 360.
3.
Find all the values of x that satisfy the trigonometric equation 6 sin x cos x = 2 cos x
[4 marks]
for 0 ≤ x ≤ 360.
4.
Solve the equation sin x = 
1
for 0 ≤ x ≤ 2
2
[2 marks]
5.
Solve the equation sin x = 
1
for 0 ≤ x ≤ 2
2
[2 marks]
6.
7.
8.
9.
Solve the equation cos
x
1
=
for 0 ≤ x ≤ 2
2
2
[2 marks]
Given cos x = 0.6 and 0 ≤ x ≤ 180. Without using calculator, find the value of
(a) tan (x + 405),
[4 marks]
(b) cot x sin x.
Solve the equation cos
x
1
=
for 0 ≤ x ≤ 2
6
2
[2 marks]
Solve the equation cos
x
1
=
for 0 ≤ x ≤ 2
2
2
[2 marks]
10. Given cos x = 0.8 and 0 ≤ x ≤ 180. Without using calculator, find the value of
(a) tan (x + 225),
[4 marks]
(b) cot x sin x.
11. Given cos x = 0.6 and 0 ≤ x ≤ 180. Without using calculator, find the value of
(a) tan (x + 225),
[4 marks]
(b) cot x sin x.
12.
Solve the equation sin x =
Answers:
1. 19.47, 90°, 160.53, 270°
2. 33.06, 90°, 146.94, 270°
3. 19.47, 90°, 160.53, 270°
4.
7
11
or
6
6
5.
7
11
or
6
6
6.
2
3
7.
1
(a) 
7
(b) 
31
20
8. 2
9.
4
3
10.
(a)
1
7
(b) 
29
15
(a) 
1
7
(b) 
31
20
11.
12.
5

or
6
6
1
for 0 ≤ x ≤ 
2
[2 marks]