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Yahoo!
 2 years ago
Find the general solution of tan2x = cot(x+pie/3)?
Yahoo!
 2 years ago
Find the general solution of tan2x = cot(x+pie/3)?

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A.Avinash_Goutham
 2 years ago
Best ResponseYou've already chosen the best response.1u kno tan2x = 2tanx/1tan^2x nd cotx = 1/tanx

A.Avinash_Goutham
 2 years ago
Best ResponseYou've already chosen the best response.1form a quadratic nd solve........ for tanx........ then u l get the g.s

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.1\[\tan(2x) = \cot(90 + x 30) \implies (\tan(x30)) = \tan(x  \frac{\pi}{6})\] \[\implies \tan(2x) = \tan(x  \frac{\pi}{3})\]

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.1General solution is given by: \[\tan ( \theta) = \tan(x)\] then: \[\theta = n \pi + x\]

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.1so: \[2x = n \pi + ( x  \frac{\pi}{3} ) \implies x = n \pi + \frac{\pi}{3}\]

Yahoo!
 2 years ago
Best ResponseYou've already chosen the best response.0hey @waterineyes but my books says it as x = n pie + 5pie/6

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.1So put n = 0 1 2 3 4 etc etc and find the corresponding value of x..

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.1you can subtract it from \(2 \pi\)..

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.1Wait something got wrong.. Let me check..

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.1Wait I am checking it..

sauravshakya
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1343210793286:dw

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.1\[\tan(2x) = \cot(x60) \implies \cot(90  (x + 150)) \implies \tan(x + 150)\] \[\tan(2x) = \tan(x + 150)\]

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.1150 is in degrees: \[150^{\circ} = \frac{5 \pi}{6}\]

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.1So: \[2x = n \pi + x + \frac{5 \pi}{6}\]

Yahoo!
 2 years ago
Best ResponseYou've already chosen the best response.0wat the wrong in 1 st method!!

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.1and subtract x from both sides: \[x = n \pi + \frac{5 \pi}{6}\]

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.1My mistake in reading i read as : x  pie/3
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