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UNIVERSITI TUN HUSSEIN ONN MALAYSIA

BBR 23603BASIC MATHEMATICS

Semester I, 2015/2016

Individual Assignment No.3

Instructions to students:

1. This individual assignment accounts for 10 %of the total marks for the course.

2. Your assignment is to be submitted before final examination.

3. Write down your name, students card number, section, lecturers nameand photo

on the cover of the assignment.

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BBR 23603

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COORDINATE GEOMETRY

1. (a) Find the distance between two points P(5,7) and Q(-3,-5).

(b) If the distance between A(-4,-1) and B(x,y) is 5 units, find x and y.

(c) Given A(4,8) and B(9,-5). Find the coordinate C on AB so that A will be the mid-

point of BC.

2. Write an equation of a line which has

(a) Slope 2, and intercept the y-axis at 7.

(b) Slope -5, through (-1,8).

(c) y intercept at 3 and x intercept at 5.

3. Given the points A(3,8), B(-4,2), C(-11,8) and D(-5,6).

(a) Is the lines AB and CD is parallel?

(b) Is the lines AB and BC is perpendicular?

4. (a) Find the shortest distance between the lines : 4 9 0A x y and

B : 2 2 5 0x y .

(b) Find the shortest distance between the lines : 3 2 6 0A x y and

B : 5 2 3 0x y .

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BBR 23603

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TRIGONOMETRY

1. Find the exact value of each expression without using a calculator.

(a) 4 cos 45 2 sin 45

(b) 4sin 60 3cos30

(c) 6tan 45 8cos60

2. In the diagram given, find the values of

(a) sin36 52' (b) cos36 52'

(c) tan36 52'

3. Solve for all values ofxin the region of 0 x 360.

(a) sin sin 17 35 'x

(b) cos os 46 15'x c

(c) tan tan 56 34 'x

4. Solve for all values ofxin the region of 0 2

(d) sin 0.3222

(e) cos 0.6915

(f) tan 4.6327

5. Solve for all values ofxin the region of 0 2

(a) 22sin sin 1 0

(b) 22 cos cos 1 0

(c) 22 tan tan 0

10 cm

8 cm

538