Tough Trigonometry Questions

Summary for O Level trigonometry

Right angle triangles Use
trigonometric ratio
Tan @ = opposite/adjacent
Cos @ = adjacent/hypo
Sin @ = opposite/hypo
Non right angle use Sin and cosine rule

Sin A/a = SinB/b= SinC/c

Partial fractions

Partial fractions Formulars of changing

A) 1/(x-2)(x-3) = A/(x-2) +B/(x-3)

B) 1/(x-3)²= A/(x-3) + B/(x-3)²

C) 1/(2x²-3)(x-3) = A/(x-3) + Bx+C/2x²-3

D) To solve partial fraction Q(x)/F(x) when the degree of Q(x) is higher than F(x) , use long division
(x³ +2x²-3/ 2x²-3)

Caculating time line

How to calculate 2004 oct 10 – 2011 may 16

2004 oct 10

2005 oct

2006 oct

2007 oct

2008 oct

2009 oct

2010 oct  10

nov 10

dec 10

jan

feb

march

april

may 10

11

12

13

14

15

16

its 6 years 7 months 6 days

A P6 Challenging question !

John had 993 tables n chairs at first. After he sold 2/5 of the tables n 5/8 of the chairs, he had 459 tables n chairs left. How many tables did he sell?

New Tax

Calculate A person earning 25550 :) Aldwin Income 25550 How much Aldwin Pays

Secondary 3 A Maths Logarim

Secondary 3 A Maths

Chapter 2.  Logarim

1)Changing indices to log

a^x= b

x  = log_ab

Example

10³=1000

3=log₁₀1000

3^x=2

x=log₃ 2

Do IT

Q1)3^x=4

Q2)2^y=2

2)Changing log to indices

log_ab = y

b       =  a^y

example

log₃ x = 2

x        = 3²

x        = 9

Q1) log₄y = 3

Q2) log₂x =2

3) Changing Of Base

	Log b
Logab =	-------
	Log a

	Log 5
Log45 =	-------
	Log 4

Q1) find log₆7

Q2) find log₈9

 <Logarithm/> tags

4) Power law of log

alog b = log b^a

2log 3 = log 3²

Take note

(Log b)²  = (log b)(logb)

                not equal to log b² 

5) Addition law of log

Log (ab) = Log a + logb

Log (12) = Log 3 + log4

Log (3x) = log 3 + logx

6) Subtraction law of log

log (a/b) = log a – log b

log (x/8)  = log x-  log 8

Qn1) Log(4x)

Qn2) log (7/x)