I can't solve this trig equation, can somebody help.
sec(x)-tan(x)=sqr3/3

Question

I can't solve this trig equation, can somebody help.
sec(x)-tan(x)=sqr3/3

anonymous · Answer

$$\sec(x)-\tan(x)=\frac{ \sqrt{3} }{ 3 }$$

anonymous · Answer

@IMStuck

imstuck · Answer

give me one sec ok?  I will work on it while I help this other person get through his dilemmma then I will be here, ok?

anonymous · Answer

Yeah no problem

imstuck · Answer

i'm here...working on it now...

imstuck · Answer

what exactly are you doing with this?  Proving that the left side equals the right side?

anonymous · Answer

no the book says to solve the trigonometry equation.

anonymous · Answer

using trig identities

imstuck · Answer

I am not finding any way in which to get this to a quadratic type of equation to solve.  I get this when I use the identities:$$\frac{ 1-\sin(x) }{ \cos(x) }=\frac{ \sqrt{3} }{ 3 }$$And you need to get the sin and the cos to be either one trig function or the other. There is no identity to use that combines a single sin and a single cos into one trig function.  Not so far as I know, at least.  Are you sure you didn't omit a ^2 in there or something?

anonymous · Answer

No, i have tried too and i don't know to what trig identity to relate it to.

anonymous · Answer

In one of the examples of the book it says to make it equal to zero.