# Thread: Stuck in this trigonometric equation...

1. ## Stuck in this trigonometric equation...

I need to get from this:
a^2 / 4*sin(x)*cos(x)

To this:
a^2 * tan(x)

thanks

2. Originally Posted by klik11
I need to get from this:
a^2 / 4*sin(x)*cos(x)

To this:
a^2 * tan(x)

thanks
That is not possible the statement is false!

3. Thanks for the fast answer.
Is 2*a^2 / 4*sin(x)*cos(x)
false too?

4. Originally Posted by klik11
Is 2*a^2 / 4*sin(x)*cos(x)
false too?
Just so we are clear is this what you intended in the first post.

$\displaystyle \frac{a^2}{4\sin(x)\cos(x)}=a^2\tan(x)$

you 2nd question does not make sense. An expression cannot be true or false in the first part you wanted to show the above identity was true and it isn't.

5. Yes you were right...
Last question for today:
can
a^2 * cos(2x) + a^2 / 2*sin(x)*cos(x)
be
a^2 * tan(x)

6. Originally Posted by klik11
Yes you were right...
Last question for today:
can
a^2 * cos(2x) + a^2 / 2*sin(x)*cos(x)
be
a^2 * tan(x)
Please use parenthesis do you mean

$\displaystyle \frac{a^2\cos(2x)+a^2}{2\sin(x)\cos(x)}$

or

$\displaystyle a^2\cos(2x)+\frac{a^2}{2\sin(x)\cos(x)}$

7. the second one

8. No what if

$\displaystyle x=\frac{\pi}{4}$

plug that into both equations and see what you get