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Simple Tips for Better Maths Results!

Ai Ling Ong

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A-Math Integration of tan^2 x

Another question from O Level Additional Mathematics (A-Math).

lijun(: said...
i came across this qu that day, and i really want to clarify if the method i used is correct or not.int(tan^2x - x^3)

i changed it to int(sec^2x - 1 - x^3) instead, cos i don't think we can integrate tan.

is that feasible?

Absolutely. Since tan^2 x can't be integrated, you must think of alternative by making use of the relationship of tan^2 x + 1 = sec^2 x

A-Math P & C Clarification

Another question from O Level Additional Mathematics (A-Math).

lijun(: said...
hey. i just want to clarify something that i'm not very sure of.

is nCr x r! = nPr ??

By definition,

nCr = nPr/r!

Well, I never remember this 'rule'
For example, find the number of ways to form a 3 letter word from a,b,c,d,e

Student #1:
5C1*4C1*3C1

Student #2:
5P3

Both answers are correct though different approaches are taken, so no need to remember the 'rule'

:)

A-Math More Trigo Graphs

Another question for O Level Additional Mathematics (A-Math).

On the same diagram, sketch the graphs of

y=sin 3x & y=cos2x,
for x between 0 degree and 180 degree
Hence state the number of soutions to the equation
sin 3x=cos 2x
in the interval 0 degree less than or equals to x which is less then or equals to 180 degree

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