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

A.Avinash_GouthamBest ResponseYou've already chosen the best response.1
form a quadratic nd solve........ for tanx........ then u l get the g.s
 one year ago

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

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

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

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

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

waterineyesBest ResponseYou've already chosen the best response.1
you can subtract it from \(2 \pi\)..
 one year ago

waterineyesBest ResponseYou've already chosen the best response.1
Wait something got wrong.. Let me check..
 one year ago

waterineyesBest ResponseYou've already chosen the best response.1
Wait I am checking it..
 one year ago

sauravshakyaBest ResponseYou've already chosen the best response.0
dw:1343210793286:dw
 one year ago

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

waterineyesBest ResponseYou've already chosen the best response.1
150 is in degrees: \[150^{\circ} = \frac{5 \pi}{6}\]
 one year ago

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

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

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

waterineyesBest ResponseYou've already chosen the best response.1
My mistake in reading i read as : x  pie/3
 one year ago
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