Question

Solve the multiple-angle equation.
cot(x/2)=sqrt(3)/3

Answer 1

x= 2pi/3 or 120degrees

Answer 2

ok I get that too but then they have either a +npi or +2npi after it?

Answer 3

cot is a period of pi

Answer 4

what does that mean exactly?

Answer 5

+ (any number of) pi

Answer 6

oh ok to it would be 2pi/3+npi

Answer 7

that means that every half cirlce the values of cotangent repeat themselves anew

Answer 8

so the answer is (2pi/3 + pi)

Answer 9

oh i'm following your thinking now:)

Answer 10

well if it's + (any number of) pi
then I could choose from:
2pi/3+npi
or
2pi/3+2npi

I'm thinking it would be:
2pi/3+npi

Answer 11

n 2pi misses half of them; n pi covers all of them

Answer 12

cool thanks so much

Answer 13

spose i want you to stop every ten feet and do jumping jacks; would you complete the instruction by choosing to go every 20 feet? :)

Answer 14

Yes but i'd be putting in a lot of work then ha ha covering more ground lol jk makes sense