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What are the general solutions to the trigonometric equation? 3cotθ=−√3

General solution of 3cotθ=−√3 , where n is an integer

 Apr 9, 2020
 #1
avatar+111329 
+1

I'm using x  instead of theta.......same difference...

 

3 cot x   = -√3      divide  both sides  by  3

 

cot  x = -√3 / 3  =    -1   / √3

 

Note  that  this is  the  same  as 

 

tan x  = - √3

 

And this  happens  at

 

x =   (2pi)/3  +  pi * n

 

EDITED ANSWER    !!! 

 

 

cool cool cool

 Apr 9, 2020
edited by CPhill  Apr 9, 2020
 #2
avatar+10 
+1

What if there are more than 1 choice provided

Topaz4  Apr 9, 2020
 #3
avatar+111329 
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Uh, oh ...I didn't  see the negative sign  !!!!

 

See my  revised answer  

 

 

 

cool cool cool

CPhill  Apr 9, 2020

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