Question

@Loser66 help! (:

Answer 1

the period of cot (x) is pi, that is cot (x) is undefined when x = 0 or x =pi
Now, your x is \(\color{red}{7/3x}\) so, just let the whole thing =0 and solve for x,
like \(\dfrac{7}{3}x= 0\) so x =0, and do the same with pi to get the answer

Answer 2

https://www.google.com/search?q=cotangent&biw=1920&bih=922&tbm=isch&tbo=u&source=univ&sa=X&ei=GzorVPG_ENSxyATVoYHQDQ&sqi=2&ved=0CDkQsAQ#facrc=_&imgdii=_&imgrc=UOhti1gI0lO2OM%253A%3Bmh1nR6u8ZewyCM%3Bhttp%253A%252F%252Fupload.wikimedia.org%252Fwikipedia%252Fcommons%252Fb%252Fbf%252FCotangent.svg%3Bhttp%253A%252F%252Fcommons.wikimedia.org%252Fwiki%252FFile%253ACotangent.svg%3B590%3B276
see the period of cot, it is pi, and that is for cot(x)

Answer 3

im a little confused... im getting 3pi/7 but i dont think that is correct

Answer 4

you have a bunch of them, that is just 1 of them, starting from 0, the second period will start from 3pi/7 and end at 6pi/7, next will start from 6pi/7 and end at 9pi/7 .Those are cot (7x/3 ) to the right.
To the left, you do backward.