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Wednesday, August 18, 2010

EXPECTATIONS!!

What teenager expect from their elders(parents and teachers)
1. Stand by us, not over us.
2. Give respect, GET respect.
3. Make us feel we are loved and wanted.
4. Punishment is not only the solution for every mistake.
5. Don’t keep us young too long.
6. Let us make our own mistakes.
7. Give us some privacy.
8. Show interest in what we do.
9. Give direct answer to direct questions.
10. Don’t humiliate us in front of others.
11. Respect our friends as we respect yours.
12. A boy and girl can be good FRIEND.
13. We need fun and companionship.
14. Don’t spy on us.
15. Try to understand why we are upset.
16.Treat each one of us as a person in his/her own right.
17. We can not be silent listener.
18. Show respect for our wishes even if you are disagree with them.
19. Don’t be partial.
20. Try to be as consistent as possible.
21. Don’t compare us with siblings/other students.
22. Criticism should be gentle.
23. Over protection is as dangerous as under protection.
24. Prepare us to lead OUR life not YOURS.
25. Treat us as if we are NORMAL, even when our conduct seems peculiar to you.
26. Appreciate us when we do something really well.
27. Make us feel our home/school belong to us.
28. Teach us by examples.
29. Have faith in us.
30. Don’t try to make us inferior.
31. Be more sympathetic and tolerant towards our faults and shortcomings.
What elders (parents and teachers) expect from teenagers
1. Give respect.
2. Don’t label us as nagger.
3. Pay heed to what we say.
4. Our care is not interference in your life.
5. We are not OUT DATED.
6. Value money and time.
7. Remain neat and tidy.
8. Do not run after fashion.
9. Involve us in your discussion.
10. Don’t make us feel that friends, social networking sites, mobiles are more important than us.
11. Learn from your mistakes.
12. Avoid late night parties/visits.
13. Follow social norms.
14. Discuss your problems with us (we understand your problem better).
15. Avoid bad language.
16. Spend some time with us.
17. Discipline your life.
18. Show that you love us.
19. Keep us informed about your friend circle.
20. Keep in touch when you are outside home.
21. Understand our point of view.
22. Don’t lie and make false stories when we enquire.
23. Help us in chore.
24. Let us be the first to know what is happening in your life.
Few days back I got a msg ,its says Our life has become so “less” now a days…Telephone-cordless, Cooking –fireless ,Food –fatless , Youth -jobless, Leaders-shameless,Govt.-hopeless,Job-thankless,Police-clueless,Policies-aimless,Labour -effortless,Conduct-worthless,Relations-meaningless, Attitude-careless, Feelings-heartless ,Education –valueless ,Argument-baseless…..
But still our EXPECTATIONS are ENDLESS!!!!!
So, if I have missed any expectation from any side (teenager or elders)………….plz mention

Wednesday, August 11, 2010

Square of 2 digit number

Let us find square of number 34
1.Make 3 blocks for answer.
2.Write square of digit at unit place in 3rd block and square of digit at tens place in 1st block.(sq. of 4=16,write it in 3rd block and sq. of 3=9,write it in 1st block)
3.Find product of two digit and write answer in 2nd block.(3×4=12,write it in 2nd block)
4.By doing so u will find that ratio of 1st block number to 2nd block number, is equal to the ratio of 2nd block number to 3rd block. (i.e 9:12=12:16)
5.In 2nd block write the same number again.
6.For getting ans. add the numbers written in same block. While writing ans in 2nd and 3rd block you can write one 1 digit and the left digit will be carry over by the other block.
1st                  2nd                   3rd
9                     12                       16
                     +12
-----------------------------------------------------------------------
                                                    6

You can write 6(only 1 digit)in 3re block and 1 will be carry over to next block so in next block u will get 12+12+1=25 and u can write only 1 digit so write 5 and 2 will be added with number in 1st block. In 1st block u will get 9+2=11. In 1st block  u can write more than 1 digit.
Have a look
1st                2nd                       3rd
9                   12                         16
                   +12
---------------------------------------------------------------------------
11                     5                          6
Ans is 1156
(34)² = 1156

Let us take one more number 63

1st                   2nd                        3rd
36                     18                             9
                       +18
------------------------------------------------------------------
39                          6                         9
Ans - square of 63 is 3969
Let us take one last number 97
1st                  2nd                          3rd
81                     63                          49
                       +63
-----------------------------------------------------------------
94                       0                              9
Ans-square of 97=9409

Monday, August 9, 2010

Do Not Be Moody

Many people suffer because they are victims of their moods. Moody persons become easily depressed & unhappy, they become gloomy, short tempered, disagreeable & discouraged because they are unable to control their feelings & cannot face difficult situations bravely. They get into bad moods over small matters such as the bad weather or because they did not get their cup of tea. They feel morose because they are hurt by an innocent remark made by someone.
One never knows how to deal with a moody person because his state of mind keeps on changing so much. When he is in good humour, he will be optimistic, amiable & cheerful. He will readily agree to new plans; he will be bubbling with energy & will be willing to help anyone. But when he is in one of his bad moods; he becomes pessimistic, sullen, sour, unkind & discourteous. He infects others with his      gloom as a result, people try to avoid him.
A person who is touchy is always prone to moods. He feels that no matter what he dose, where he goes, or what he says, he is the center of everyone’s interest. As a result of his sensitivity, he becomes moody, irritable, dejected & disheartened.
If you are slave to your moods, you can never do your best. When things go wrong, you should think of the brighter side of life .The best way to keep out darkness is to switch on the light. The best way of shutting out depressing thoughts is to think of happy beautiful things. A person who smiles when things go wrong has a great advantage over those who cannot.
The next time you feel depressed & unhappy, try & analyse the reasons of your depression. If the cause of your feeling sad can be removed, put your best effort to do so. If it is something you can do nothing about, count the things in your life, laugh & play with your friends, see a cartoon, or read a funny book.  

An anonymous poet has said,

For every problem under the sun,
There is a remedy, or there’s none;
If there be one, you must find it,
If there be none, never mind it.

Sunday, August 8, 2010

Trigonometry

Trigonometry (trigonon "triangle" + metron "measure") is a branch of mathematics that studies triangles, particularly right triangles. Trigonometry deals with relationships between the sides and the angles of triangles, and with trigonometric function, which describe those relationships and angles in general, and the motion of waves such as sound and light waves.


Read the following sentence: 
Some Of Her Children Are Having Trouble  Over Algebra
Break the sentence in 3 parts (different parts r shown wid different colour)
Some Of Her  Children Are Having  Trouble Over Algebra

U have to consider only 1st letter of each word.
1st letter of 1st word of each part(S,C,T) represent name of Angle.
Means- S-sine, C-cosine, T-tangent
And 1st letter of the remaining two words of each part(Of Her,Are Having,Over Algebra) represent the name of sides. Means,
O-opposite side , H-hypotenuse , A-adjacent side


 In right angle ΔABC, A  &C are acute s.
Out of these 2 acute s v will consider A.
Since v have chosen ∟A, so side opposite to ∟A is CB , adjacent side to A is AB, & hypotenuse is AC .
NOTE: If v consider ∟C in place of  ∟A, the position of sides will change. In that case ,side opposite to  ∟C  will be AB and side adjacent to  ∟C will be CB ,hypotenuse will be AC .In right angle triangle, hypotenuse is a fixed side, like in the given  ΔABC side AC is hypotenuse. Opposite side and adjacent side will depend upon which acute ∟ v are considering.

Thus(trigonometric ratios of ∟A in right ∟tri)
SineA = Opposite ÷ Hypotenuse (where A is any 1 acute ∟of right ∟ tri)
CosineA = Adjacent ÷ Hypotenuse
TangentA = Opposite ÷ Adjacent
Angles of Sine
1st step:
Write nos.frm 0 to 4
1)0
2)1
3)2
4)3
5)4
2nd step:
Divide each no. by 4(as 4 is largest of all)
1) 0/4=0
2) ¼
3) 2/4=1/2
4) ¾
5) 4/4=1
3rd step:
Take square root of the resultant
1) √0=0
2) √1/4=1/2
3) √1/2=1/√2
4) √3/4=√3/2
5) √1=1
4th step:
The values in last step shows the values of sin0°,sin30°,sin45°,sin60°,sin90°
So we have
Sin0°=0
Sin30°=1/2
Sin45°=1/√2
Sin60°=√3/2(its root 3 upon 2, root is not over 2)
Sin90°=1
Note : As the angle increases, value of angle is also increasing.
Angles of Cosine
U don’t actually have to learn the values of Cosine and Tangent, if u have learnt the values of Sine. What u have to do is to write the values of Sine angles in reverse order for getting values of Cosine Angle. This means
Cos0°=1
Cos30°= √3/2(its root 3 upon 2,root is not over 2)
Cos45°=1/√2
Cos60°=1/2
Cos90°=0
Note: Sin 45°= Cos 45°
Angles of Tangent:
U have to use formula SinA/Cos A=Tan A where A is any acute angle.
Sin0°/cos0°=tan0°
Put value of these 2,i.e 0/1=0,so tan0°=0.
Similarly tan30°=1/√3
Tan45°=1
Tan60°=√3
Tan90°=∞ (b’coz 1/0=∞ i.e not defined)
Take reciprocal of SinA to get CosecA:
Cosec 0°=1/0=∞
Cosec 30°=2/1=2
And so on
Similarly take reciprocal of CosA which is SecA,n reciprocal of TanA is CotA.

Trigonometric identities-
An equation involving trigonometric ratios of an ∟is called trigonometric identity,if it is true 4 all values of the ∟(s) involved.
Basically there r 9 identities, I’l tell u tricks 2 learn all these.
U have 2 learn only 1 basic identity that is

1. sin²A + cos²A = 1 ---------------(equ 1) (for 0°≤A≤90° read it as where A can b greater thn or equal to 0° n less or equal to 90°)


frm (equ 1) u can get 2 more iden.
2. sin²A = 1- cos²A

3. cos²A = 1 - sin²A
Now what u have 2 do is to divide (equ 1) by sin²A

sin²A/sin²A + cos²A/sin²A = 1/sin²A

u’I get another iden.

4. 1 + cot²A = cosec²A
(where A can b  greater thn 0 bt less thn or equal to 90)
Frm this u can get 2 more iden.

5. cot²A = cosec²A – 1

6. cosec²A – cot²A = 1

Again take (equ 1) n now divide it by cos²A

sin²A/co²sA + cos²A/cos²A = 1/cos²A

So,here is new iden.

7. tan²A + 1 = sec²A
(where A can b greater thn or equal to 0° n less thn 90°)

Frm this u can get last 2 iden.

8. tan²A = sec²A – 1

9. sec²A – tan²A = 1