This is going to be a short post because Trigonometry is quite a small portions. However, it is fundamental to the rest of mathematics, and you must be good in trigonometry before moving towards other chapters.
The basic rule of Trigonometry is the same as that of Mathematics in general- remember all formulae by heart and practice as much as you can. There are 50+ formulae in my short notes. And you need to remember them by heart(most formulae are symmetric and can be learnt by short tricks). Practice makes you familiar with all the tricks of the game, and you begin to get 'clicks' in your mind whenever new problems come up.
The first chapter is identities. Lots of formulae and tricks. Can't do much apart from practicing a lot and remembering formulae well.
Then comes Trigonometric equations. Almost the same, just few more formulae for the standard solutions. Be careful with intervals of pi and all. And practice few questions based on graphs, pretty common in JEE.
Next is SOT. Very nice chapter. Important from KVPY and Olympiad point of view. Again, lots of formulae, and the trick lies in massive problem solving.
Then comes Inverse Trigonometric functions. This one is easy. Remember the principal values, do a little bit of tweaking by a factor of pi(carefully) and you are done.
Basically, trigonometry is an easy portion. But question wise, it can be tough as hell. The only thing you can do is practice, practice, and practice. From the books below.
BOOKS
As usual, coaching books are the best for maths. If you are studying on your own, get the book by Resonance. For extra practice, Arihant is the best. If you want more practice of a basic level, go for S.L. Loney(its a bit old fashioned though). For those who love challenges, go for A. Das Gupta. It has the toughest questions from trigonometry among all other books(even I had tough time solving them).
The basic rule of Trigonometry is the same as that of Mathematics in general- remember all formulae by heart and practice as much as you can. There are 50+ formulae in my short notes. And you need to remember them by heart(most formulae are symmetric and can be learnt by short tricks). Practice makes you familiar with all the tricks of the game, and you begin to get 'clicks' in your mind whenever new problems come up.
The first chapter is identities. Lots of formulae and tricks. Can't do much apart from practicing a lot and remembering formulae well.
Then comes Trigonometric equations. Almost the same, just few more formulae for the standard solutions. Be careful with intervals of pi and all. And practice few questions based on graphs, pretty common in JEE.
Next is SOT. Very nice chapter. Important from KVPY and Olympiad point of view. Again, lots of formulae, and the trick lies in massive problem solving.
Then comes Inverse Trigonometric functions. This one is easy. Remember the principal values, do a little bit of tweaking by a factor of pi(carefully) and you are done.
Basically, trigonometry is an easy portion. But question wise, it can be tough as hell. The only thing you can do is practice, practice, and practice. From the books below.
BOOKS
As usual, coaching books are the best for maths. If you are studying on your own, get the book by Resonance. For extra practice, Arihant is the best. If you want more practice of a basic level, go for S.L. Loney(its a bit old fashioned though). For those who love challenges, go for A. Das Gupta. It has the toughest questions from trigonometry among all other books(even I had tough time solving them).
So, as usual, study hard, practice a lot, and comment down your queries below.
All the best!!!
Also see: Motivation, Calculus, Coordinate Geometry, Vectors and 3D, Algebra, Best books for JEE, Organic Chemistry, Mechanics,
What is SOT?
ReplyDeleteSolution of Triangles
DeleteSolutions of triangles.
ReplyDeleteCan you please write an answer about sat.what to study and eligibility criteria
ReplyDeleteCan I use cengage for trignometry?
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For class 12 do the Same : https://www.amazon.in/dp/9324197037/ref=cm_sw_r_wa_apa_i_BXmrFb8V7MYNS
thanku bhaiya
ReplyDeletethanku bhaiya jaisa ap ne kaha tha ki apne ap ko daily improve karna hai to mujhe samajh nahi a raha tha ki pehle kon si book lu a das gupta solve karne se pehle so once again thanku bhaiya ab mai pehle achhe se sl loney ki coordinate solve karungi fir a das gupta thsnku
ReplyDeletethanku bhaiya mujhe nahi samjh a raha tha ki mai a das gupta solve karne se pehle kya solve karu kyoki ap ne kaha tha apne ap ko daily improve karna hai so thank you bhaiya pehle ab mai sl loney solve karungi fir a das gupta coordinate ki
ReplyDelete