# trigonometric equations

• Apr 25th 2012, 02:07 PM
DjNito
trigonometric equations
So I need help with two different types of equations the first is:

Sec^2(x)-2tan^2(x)=2/3

And I need to find all solutions in the interval [0,2pi)
If you can show me how to start solving this equation would be awesome

The second equation is:

Tan(x)=-srt3/3

I understand cos and sin but not really tan I need to find all solutions and write the equation as
X=?+pik, where k is any integer

• Apr 25th 2012, 03:37 PM
pickslides
Re: trigonometric equations
Quote:

Originally Posted by DjNito
So I need help with two different types of equations the first is:

Sec^2(x)-2tan^2(x)=2/3

And I need to find all solutions in the interval [0,2pi)
If you can show me how to start solving this equation would be awesome

Consider this $\displaystyle \sec ^2x = 1+ \tan ^2x$