1968-12-17 — Page 23

華僑日報 All

青软備華 頁三第張六第日八十月十年申戊座

WAH KIU YAT PO

郭日僑華

二期星

日七十月二十年八六九一屦公年七十五國民華中

文中學會考試題預習

數學科

(七)

歐陽文

545 seco + le Car

ATHEMATICS (7)

LESSON 1

SIMPLE - ZDENTITIES & EQUATIONS

MALE I Prove that

Sin A + cas"A =

PROOF: Let

BAX be any acute angle;

draw ec 1 Ax and denote"

sides of rtaABC by

Sin A =

Cos

Cos x + sin

EXAMPLE 3: Given Dr, are two maependent orgies.

Prove that: (a) sin of Cesß - Ces of Shß

cst of it cot

sin

dën 0 4 12 ( 1 - Sin*0) m d

PROSE: (a)

Methad (NOTE: This can also be found by Aff

of completing the scware; will unkwan) sino)

Crejected

It is also evident from the, relation

tan Am A etc

(3)Divide the above

dentity

and d by Sin A, we

EXAMPLE 2 Pr

TFOF:(A)

o+ A

ANS. To E.

sin 35 = 0.5736; Cat 35=1.428) From the fig. as shown, by

(Cas ex Sing + Smy of Cos)) ( Cos of Cần

Cos or Cos

Find all the ratios from this tha

bj(a) 3 tan + 5° +

•₤tan 30 + 5 cot 45t

cot B

cet of out B

(+)

* = x ( ~= ) ( 15 )

EXALIPLE 4 Eliminate z between

gma =48xra sin 60") "spam.

ANS

a = tanx + cos X

SOLUTION

线

bfan X Cos X tan x

Lise the above relation, draw art..

f(a+b)*+ +

XY

[Equofrog) the values of cos x

=(a+by+4)

(a=b5[(a+b)+4)=116,

((a*~B)+4(a+b=16

fernative method; *(1) *(2): fanX=f(a+b)

(att)

rom 14. & MAG

If. A MAC

From w

fet. A ba the plane's on

el posit

& be the position of 60° be the position at 30° the plane's speed be tft/sec. Then AB=10t ft.

MA = AB Cot 30° = fot· col36- AC = MA dan bo = lot cat sa tambi

taken for the journey AC is

Jan Go

Cross-sectiona

(2 × 1) sq ft = 217. H

LTT the sectional area în sii)

ABPQ = 2 sq ft.

"BQ= a' then AP= d3 AN

ANWAB ton 15®

•Area of ABQP

Fom

[Fence

* Find a

naɣa solution of each of

(b)

Solution ŋy(a)

Sin

(z sine tank – 2 Sh

dan 0 + Cot &

ABC

sixzf m/sec

thens

ANS

B9+ RC. AB

AMS, 1:27 H

ical

of the

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