plz helppp: what value of x in the interval 0 degrees less than and equal to X is less then and equal to 180 degrees satisfies the equation radical3 tanx+1=0?

Question

anonymous · Answer

$$0 \le x \le 180$$

anonymous · Answer

$$\sqrt{3}\tan x+1=0$$

mathmale · Answer

Hello, lyubas!

Please solve this latest equation for tan x.  Then we'll solve for x itself.

anonymous · Answer

do u subtract 1 on  both sides?

mathmale · Answer

Yes, subtract 1 from both sides.  Don't be afraid to make mistakes...jump in and do whatever you think is appropriate at the moment.

anonymous · Answer

I got$$\sqrt{3} \tan x=-1$$

anonymous · Answer

can I divde by radical 3 on both sides?

mathmale · Answer

Nice.  Now solve for tan x by dividing both sides by Sqrt(3).

anonymous · Answer

i got -.5773502692

mathmale · Answer

I'd rather that you write $$\tan x=\frac{ -1 }{ \sqrt{3} }$$

anonymous · Answer

oh ok

mathmale · Answer

In which quadrants is it possible for the tangent to be negative?

anonymous · Answer

2,4

mathmale · Answer

Right.  So your angle (x) could be in either Q2 or Q4.  Let's assume for the moment that x is in Q2.  What is the angle?  Draw a picture.  Note that the angle would have to be between 90 and 180 degrees to be in Q4.

anonymous · Answer

|dw:1395367425626:dw|