Trigo help..principal solution!

Question

Trigo  help..principal solution!

dls · Answer

Question:
Find the principle and general solution of :
$$\LARGE cotx=-\sqrt{3}$$

dls · Answer

I've got -pi/6 as PS,but its given in the form 5pi/6 i know they wrote 2pi-pi/6 form but is mine wrong?It is nowhere given in that form in my book..does it make a difference?Like for sin PS can be from +pi/2  to  -pi/2

anonymous · Answer

I've learnt that you should always get your answer within the period. 
For sine/cos: 0 <= x <= 2*pi
For tan: 0 <= x <= pi

dls · Answer

why so?

anonymous · Answer

Well I didn't make the rule so I'm not sure exactly why. But  I would say that if you write it like that it is in simplest form, and you always want to get your answers in the simplest form. 4/8 can be simplified to 1/2 and -pi/6 to 5pi/6.
It will also help you since most of the trig tables are from 0 to 2pi :)

dls · Answer

okay

dls · Answer

but ill leave the question open for any better answers,if anyone has :)
thanks though!

anonymous · Answer

Good idea! It's an interesting question.