Tuesday, May 26, 2015

problem on trigonometry

take lcm or common denominator, change to a single fraction

use trigonometric identities  to make the numerator 1

link to trigonometric identities




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Wednesday, July 23, 2014

kodaikanal

Kodaikanal is a hill station/resort|(around 2100mt above sealevel ) near dindigul in Tamilnadu. It is a favourite destination for newlyweds on their honeymoon and for students on their school/college tours or for families on holiday.

If you are coming from chennai(madras) there is a setc bus and also private buses to kodaikanal.

If you coming via tamilnadu, you have to reach trichy, then go to dindugal. From dindigul, there are buses to kodaikanal at frequent intervals from early morning. or you can go to Batlagundu( vathalagundu /Vetrilaikunru ) which is around 40 kms from kodaikanal and from where there are frequent buses to kodaikanal.

The route to kodaikanal is through the mountain roads and the scenery is very beautiful on the drive up/down the route.

Remember to take your wool clothing/sweaters with you since it is pretty cold (around 20 degree celsius) most of the time in kodaikanal.

When you get down from the bus at the bus stand, plenty of persons/guides will surround you offering to help you in finding a room, and advertising a site seeing tour in groups of around 7 to 15 persons.

It is better to book your room before you reach kodaikanal especially if you are travelling with your family(you can get phone numbers from a internet search). You can get a pretty good room for a small family for about 900-1500 per day(in early 2014).

The one thing that was missing in kodaikanal was the autorickshaws(in 2014). But there are taxis parked just outside the busstand. You can negotiate with them for taking you to places of interest to you.(I personally do not like the tour group idea with a fixed timetable)

One of the main attractions is the Kodai lake (a man made lake of about 60 acres) with boating facilities.

Bryant park with plenty of flowers (lots of varieties of roses, daisies, hydrangeas, old trees etc) and is close to the lake.

Coaker's walk is a paved path on the south side of kodaikanal. If there is no mist , you can get a very beautiful view of the valley and towns in the distance.

There is a large pine tree plantation/forest in kodaikanal.

Kodaikanal has a very beautiful golf course.

Bear Shola falls is a waterfalls in a forest.

Silver cascade waterfalls is formed from the outflow of water from kodai lake.

Dolphin's nose is rock projection on chasm and is close to pambar falls(of liril ad shoot)

Berijam lake is around 20 km from kodaikanal and permission from the forest department is required to go there.








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Saturday, January 25, 2014

Important 10 mark questions for plus 2 students in tamil nadu (12th mathematics )-1

Important 10 mark questions for plus 2 students in tamil nadu (12th mathematics )


Differential calculus-2

1.Trace the curve y = x^3


2. Trace the curve y = 1+ (x^3)


3.Trace the curve y = 2 (x^3)


4.Discuss 1)existence, 2)symmetry 3)asymptotes 4) loops of the curve
y²(2+x)=x²(6-x)



5. Verify Eulers theorem for the function


6.



7.




8.









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Saturday, May 25, 2013

spice jet posts 185.72 crore rupee loss in last quarter

Spice jet is a budget airline  ( low cost airline ) company  operating in India and seems to be at the number 3 position.

It's share was trading at Rs.37.80/- on friday (24/5/2013)

Spicejet company has posted a loss of Rs. 185.72/- crore (1.86 billion ?? ) for the quarter ending 31st March 2013.

for the last fiscal year  the total loss was Rs. 191 crore, while it was Rs.605.7 crores for the previous year FY12.

There has been increase in airport charges ,high fuel costs , weakness of the indian rupee which were adverse to the domestic aviation industry.

But there seems to have been an increase in the passenger traffic and increase in fares as well. Numerous international routes also seem to have been added




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Monday, March 11, 2013

integral using manipulation of numerator in terms of denominator

integral of 1/[sin²x cos²x]

 since sin²x + cos²x =1
 rewrite the numerator as sin²x + cos²x
 divide each term with the denominator
simplify and then integrate

 study  integration formulae






free guide on integration  or integral calculus for cbse isc kerala higher secondary class 12 ncert scert students


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integral using substitution

integral of [√(tanx)] / [sinx cosx]

first introduce [√(tanx)] in the numerator and denominator

then simplify and change the tanx in the numerator in terms of sinx and cosx
simplify in terms of secx and tanx

then use substitution method

study  integration formulae  







 

free guide on integration  or integral calculus for cbse isc kerala higher secondary class 12 ncert scert students


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Saturday, March 9, 2013

integral using trigonometric manipulation

integral of 1 / [cos(x-a)cos(x-b)]

we will try to write the numerator in terms of the denominator

so introduce sin(a-b) in the numerator and denominator

note that (x-b)-(x-a) =a-b

so write sin(a-b) as sin[ (x-b)-(x-a) ] and expand using sin[A-B] formula

divide the numerator term by term with the denominator

reduce to terms involving sec and then integrate

study  integration formulae a 







 

free guide on integration  or integral calculus for cbse isc kerala higher secondary class 12 ncert scert students


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