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

[Sebastian999]

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...

 

[Дьявол]

Do you mean:

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

 

[HallsofIvy]

Homework Statement

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

Do you mean:

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

And
$$2/(2/root 3)= \frac{2}{\frac{2}{\sqrt 2}}= 2$$

 

[Aureus]

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?

 

[Mentallic]

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