Mathematics: E-book!


Addition, division, subtraction and multiplica...

Addition, division, subtraction and multiplication symbols (Photo credit: Wikipedia)

A noted follower had requested a PDF file of questions/answers. Well, this is even better! The following link is of an e-book of Mathematics by Mr. M. P. Keshari.

PART 1 (Chp 1 to Chp 11):  http://www.icseguess.com/ebooks/x/maths/part1/

PART 2 (Chp 12 to Chp 23):  http://www.icseguess.com/ebooks/x/maths/part2/index.php

PART 3 (Chp 24 to Chp 29):  http://www.icseguess.com/ebooks/x/maths/part3/index.php

It is thorough and even has examples of solved questions. Very useful! Do check it out! 🙂

Mathematics: Important Formulae and Points to Note


Math Mark

Math Mark (Photo credit: Wikipedia)

This PDF file consists of important chapter wise formulae that you will need to remember along with any important points you should keep in mind while preparing for your exam.

The proper credit for these notes has been given in the PDF file itself. Please check it out! It will be very useful to you!

http://www.icseguess.com/download/maths_formula_x.pdf

Thank you!

Math: Trigonometric Identities and Tips to Remember


Trigonometry! Some of you may have been practicing trigonometry since 8th grade.. But who really likes trigonometry?

Trigonometry is simple logic and once you get the hang of it, it is a very interesting topic in math! And easy, too!

We all know the basics:

sinA = perpendicular/hypotenuse

cosA = base/hypotenuse

tanA = sinA/cosA

           = perpendicular/base

cotA = 1/tanA

           = cosA/sinA

           = base/perpendicular

sinA = 1/cosecA

cosA = 1/secA

tanA = 1/cotA

Trigonometric Table

Here are the important trigonometric identities you’ll need to memorize (YES, MEMORIZE!):

sin2A + cos2A = 1

1 + tan2A = sec2A

                           To remember this identity, s and t are different letters.

1 + cot 2A = cosec2A

                     To remember this identity, c (cosec) and c (cot) are the same letters and cot is the inverse of tan.

While solving Proving sums in Trigonometry,

Remember:

If you get a question like this:

P.T. (1+cosA)/(1 – cosA) = (cosecA + cotA)2

Observe that the RHS has cosecA=1/sinA and cotA=cosA/sinA

Since both cosecA and cotA, when simplified have sinA as the denominator, if we divide EACH TERM on the LHS by sinA, we will solve the sum.

You can also apply the same technique to proving sums which have cosA as the denominator.

Give it a try!

 

Here’s a link to the PDF file for the above notes:

NOTES – Trigonometric Identities and Tips to Remember

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This work by Helpline for ICSE Students (Class X – Class 10) is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

You may print these notes through the PDF file and refer to them as required. We would appreciate it if you abstain from reproducing any part of these notes without our prior permission. For more information, please contact us. Thank you.

Math: Algebraic Identities


Mathematics is easy for some, difficult for others. What is important is whether you like the subject or not! Cultivate a liking towards math, and you’ll be breezing through it in no time!

Here are several important identities which you may want to keep in mind while solving sums. They will help you out the most in Quadratic Equations, Ratio and Proportion, Trigonometry, etc.

(x + a) (x + b) = x2 + (a + b) x + ab

(a ± b)2 = a2 ± 2ab + b2

(a ± b)3 = a3 ± 3a2b + 3ab2 ± b3    OR    (a ± b)3 = a3 ± b± 3ab (a± b) 

a2 − b2 = (a + b)(a − b)

a3 + b3 = (a + b)(a2 − ab + b2)

a3 − b3 = (a − b)(a2 + ab + b2)

(a + b + c)2 = a2 + b2 + c+ 2ab + 2ac + 2bc

These are just the basic algebraic identities you may need in the chapters mentioned above.

 

Here’s a link to the PDF file for the above notes:

NOTES – Algebraic Identities

You may print these notes through the PDF file and refer to them as required. We would appreciate it if you abstain from reproducing any part of these notes without our prior permission. For more information, please contact us. Thank you.