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anonymous
 one year ago
If (2tan(x))/(1tan^2(x))=1, then what can x equal?
My options are:
A. x=7pi/8+npi
B. x=pi/8+npi
C. x=3pi/8+npi
D. x=5pi/8+npi
anonymous
 one year ago
If (2tan(x))/(1tan^2(x))=1, then what can x equal? My options are: A. x=7pi/8+npi B. x=pi/8+npi C. x=3pi/8+npi D. x=5pi/8+npi

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I think that B is right but I don't know about any others. Can anybody help me?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I got the question wrong, but I still want to know how to do this!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ 2\tan x }{ 1\tan ^2x }=1\] \[\tan 2x=1=\tan \left( \frac{ \pi }{ 4 }+n \pi \right)\] \[x=\left( \frac{ \pi }{ 8 }+n \frac{ \pi }{ 2 } \right)\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0How did you go between the last two steps?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\tan 2 x=\frac{ \sin 2x }{ \cos 2x }=\frac{ 2\sin x \cos x }{ \cos ^2x\sin ^2x }\] divide the numerator and denominator by \[\cos ^2x\] \[\tan 2x=\frac{ 2\tan x }{ 1\tan ^2x }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\tan 2x=1=\tan \frac{ \pi }{ 4 }=\tan \left( \frac{ \pi }{ 4 }+n \pi \right)\] \[2x=\frac{ \pi }{ 4 }+n \pi,x=?\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So that's \[1/8\pi +1/2n \pi ?\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0correct ,i have written above.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay I get it thank you. That helps a lot.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You can have a medal :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0can you help me with another problem? @surjithayer

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I have \[\cos(\pi/4)\cos(\pi/6)=1/2( (blank) \pi/12+\cos(5\pi/12)\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[2 \cos A \cos B=\cos \left( A+B \right)+\cos \left( AB \right)\] \[\cos A \cos B=\frac{ 1 }{ 2 }\left\{ \cos \left( A+B \right)+\cos \left( AB \right) \right\}\]
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