1971-12-28 — Page 21

二期星日八廿月二十年一七九一零公布十六國民传中

青教僑華 頁二第張六第日二十月二十年多辛屉 WAH KI

KIU YAT PO

1972英文中學會考試題預習專欄

郓日僑 ITY HALL

Exercise 9 (Multiple choice

questions)

(九)

與消殮文書院主編

數學科

MATHEMATICS

(Lesson 9)

Solution to Ex. 8

tan 0 + 300

tan 0 +

tan 0

NZA 3.

fan A

4tar 0 +

3

(tane

(tane

11

tan e

= 0, or

tan

tan 9 =

tari e

lie

=π/4, 5/4 70934 or 251°34')

After checking, we find that 77/4, 5π/4, 70°34' and 251°34')

satisfy the equation, there

fore all these four are solu-)

tions.

cosec

cot ☺ = √3

cót

cosec

Cosec e =

2/300t ecot

2:

23cote+cot e

2/3 cot

=/3,

Check: For = 7/3,

Cosec e

cot e

ror e = 4 1873,

Cosec e cote

2/3 + 1/3

3/43 √3

=2/√3 +1///3.

1/3

J3

Therefore, the solufion is

• cos e -No3 bin 0 -

...

cos 8 - 1 = /} sin ☺) Squaring, we have

cos 2

cos

−2cos @ + 1

2cose + =31

COS 9-2cose+1 3-3008-9

4cos 0- 2cose - 2 = 0

2(2cose + 1)(cose -1)

2c0s e

Cos e

Because 2 cose +-

008 0 = -1/2

→ = 27/3, 4/3

Since .cos 0

= 800

Checking:

For e

V3 sin 0

For = 7/3

cos e - J3 sin e

For

-√3(0)=

-J3(√3/2)

3(43/2)

Therefore, the required solu-) tions are e

Graphs of the Trigonometric

function.

και τη

y=

育教僑華

A pendulum 20 in. long swings

to and fro through an angl

of 0.

If its bob rises by 0.5 in. above its lowest.

point, then ✪ is.

1972英文中學會考試題預習專欄:

怒道英文書院主編

英文科 (九)

y = coller I

y = seest

Remarks:

(1) Since

y = Tan x

sin(2*+ X = cos

the graph of y Cos x may be obtained by shifting the graph of y - sin x a distance to the left.

(2) Sice cosec (‡K + x) = sec x

the graph of y =\cosec x may

be obtained by shifting the graph of y - sec x a distanc 1/2 to the right.

(A) 2 sín (B) 2 cos

(C) 2 tan

(D) sin

(E) cos

9/40

(39/40).

(9/39)

(39/40) (39/40)

2) In the adjacent figure, vo

is equal to

(a) BA sing sinß

-sin(¤ -3.

(b)

BA eos sin/3

sin

(c) BA sina coss

sina

BA BI

In the adjacent

equal to

(a) AB sin sin

Sın

(b)

AB tan sin

sin(

(c)

AB Cotsin e sin(+0.

(a)

AB tansın

(4) If cot e

the value

P cos P cos 9

q. sin o

19

ain

(B)

(D)

5) If cos V =

value of 18 (A) 2n/+ 28/1 (B) 2nre - 27/3 (C) 207 ± 210/3 (D) 21/3

DC

the generál

(6) In the adjacent figure, areɛ

of ABCD is

(A) 4(p + q)(q + s) sih o (B) {(p +5)(q

'sin S

(C) (p + q)(r + §) COB

(D) ¿(p + q)(r' + 8) sin (

B

7) In the adjacent figure, area of the smaller segment (s

English Language 14

Read the following passage fully:

There was a time when by the eriminal code of England that a man might be hanged for such a trivial offence as having stole a turnip. In China and many other countries, a man's life and that of his family could be. robbed for having said something. which was considered to be again: st the king.or

tted some

or for having ment,

crimes that did

harm.

serious

However, men leamed to value their life as well as tha. of the others with the develop- ment of new liberal ideas that people are bom equal and endowed with certain rights. Some human- itarians even speak against the practice of capital punishment and appealed to the public with earest cries that such a brutal punishment should be abolished.

As it has turned vUP, ILL many countries where the capital punishment has been put to an i end except for murder, offences to the surprise of many, becɔme, fewer than before. On this ground, it is urged that, if cap ital punishment were abolished/ even for murder, murders would likowise be less frequent, then they have been for it is moral development and not bodily cast-

gation that we should stress upon. Many a time, the press of Aguilty conscience on a person can be more painful than that of a death sentence. How herrible it is to imagine that an immocen man is accused of, by mistake, mortal sins and condemned to unt such imely decease, and in fact, great disaster does not exist only in imaginations. We, accord- ing to the Bible, sinful and not in a position to judge the others. God is nearestor and the only one to decide, whether

Į a man should go to ILL.

However, in many countries, there was a great outcry from a lot of people when the capital: punishment was about to be repe- aled for the fear hat no one's property or life could be safe ever since. We must not deny the fact that there are rascals and wretches who can be deterred.

from murder by nothing else except by the fear of death. For the safety and the good of

he community, it seems that such)

punishment, in spite of being aid as inhuman and barbarous by (meny, fare to be retained.

Some who insist upon this would even point out promptly that the execution of a criminal couses not any brut lising effect on the public mind as it is now

on inside the gaol without the public to witness it.

No wezus or snorz which are na mifiil to the crops should be allowed to grow. So shouldn't so let those who are dangerous (eing on to be a threat to tha be, lely. The black sheep' of the family must be eliminated. To the benefit of all the otherg

Write a summary of the pass-

in no more tiun 130 vords-

(shaded) is

(A) = r2(0

(B) ± r2(0 – coe

(C) r2(sin

(D) fr2(205 8