1)principal value of tanx varies from-∩/2 to ∩/2
so ∩/6+∩/6=∩/3
THIS IS SERIOUSLY NOT FOR IITJEE practice.....THEY ARE 2222222 EASY............ ONLY FOR CBSE sure shot QUESTIONS...
Please other guys dont scold me for these easy questions..
1. Find the principal value of tan-1(tan7∩/6)+cot-1cot7∩/6.....
2.Evaluate...o∫∩/2(x+sinx)dx/(1+cosx)...
3.Two tailors A and B earn Rs.150 and Rs. 200 per day respectively. A can stich 6 shirts and 4 pants per day whike B can stich 10 shirts and 4 pants per day. How many days shall each work if it desired to produce atleast 60 shirts and 32 pants at a minimum labour cost?? GRAPHICALLY..........
Solve these yaar u cud be sure of 11 marks in d next board paper..
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61 Answers
u gotta be kiddin sky..........thts wat they teach u at d startin of d year....d principle intervals of inverse functions......
wel i guess u do complex and difficult questions only hehehe...[3][3]
k...take d interval for tan inverse and ull get in a second....its a ONE mark question........
try 2nd its nice...may take a while
wat do u mean wat to do??????
INTEGRATE in 2nd.............................and find d final value in 1st......
hey mue................check tht 3rd again.....u r gettin an unbounded region rite?????? so did u try for 150x+200y<1350??? thts d tricky part..............u havent finishd d question yet..
1)=tan^{-1}\left(tan\left(\frac{7\pi }{6} \right) \right)+cot^{-1}\left(cot\left(\frac{7\pi }{6} \right) \right) \Rightarrow tan^{-1}\left(tan\left(\pi +\frac{\pi }{6} \right) \right)+cot^{-1}\left(cot\left(\pi +\frac{\pi }{6} \right) \right)\Rightarrow tan^{-1}(tan(\frac{\pi }{6}))+cot^{-1}(cot(\frac{\pi }{6}))\Rightarrow \frac{\pi }{3}6)
let f(x)=o∫∩/2(x+sinx)dx/(1+cosx)...
i think we can get after splitting it........
and putting cosx =t;{thinking.........}
[17] [17] sorry MS , i was RENDERING EQUATION using that LATEX , it really took a lot of time..[17][17]
good catch subash
at least arent fooled by my ststement
it was just a fact and not a way to approach a problem
hey akand r these just the ques by u or hav any resource that u r writting them to be coming in brds...
wel....try these ill giv more...............wel prateek this wasa pre board 3 q paper.......but we dint hav any preboard 3 so sir just gave it to us..
i have a method but a lenghty one so find a new 1
1+cosx=2cos2x/2
=0∩/2∫xsec2x/2+tanx/2
i hope iske aage koi bhi kar sakta hai!!!!!!!!!!!!
(use product rule for 1)
manipal............u wer on d edge gettin a lot easier method......but missed