Solve tan2x(1-tan^(2)x=2/(2/root 3): 0-360

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The discussion revolves around solving the equation tan(2x)(1 - tan²(x)) = 2/(2/√3) for the interval 0 to 360 degrees. Participants clarify the transformation of the equation and express confusion over the simplification of the right side, debating whether it should equal 2 or √3. There is a consensus that the initial interpretation of the equation may be incorrect, highlighting the need for careful handling of the square roots involved. The conversation reflects a collaborative effort to resolve the mathematical problem while addressing potential miscalculations. The thread emphasizes the importance of accuracy in trigonometric equations.
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Homework Statement


tan2x(1-tan^(2)x=2/(2/root 3) for interval 0 to 360

Find solutions to the equation


Homework Equations





The Attempt at a Solution

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I know i can't make it equal to zero but yeah...
 
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Do you mean:

(1-tan^2(x)) * tan(2x) = \frac{2}{\frac{2}{\sqrt{3}}}
 
Sebastian999 said:

Homework Statement


tan2x(1-tan^(2)x=2/(2/root 3) for interval 0 to 360

Дьявол said:
Do you mean:

(1-tan^2(x)) * tan(2x) = \frac{2}{\frac{2}{\sqrt{3}}}
And
2/(2/root 3)= \frac{2}{\frac{2}{\sqrt 2}}= 2
 
HallsofIvy said:
And
2/(2/root 3)= \frac{2}{\frac{2}{\sqrt 2}}= 2

I believe this is incorrect... shouldn't it be the square root of 3, and not of 2?
 
Aureus said:
I believe this is incorrect... shouldn't it be the square root of 3, and not of 2?

And even then... it would be equal to \sqrt{2} and not 2. Double brain fart :-p
 
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