Find all solutions to the equation cot(3x)=1. answer in degrees by unit circle.

Question

terenzreignz · Answer

Incidentally... when is cotangent equal to 1?

anonymous · Answer

i meant cos sorry. im not sure

terenzreignz · Answer

In that case, when is cosine equal to 1?

anonymous · Answer

Please Help. do i try and get cos by its self to solve it? if so how would i take that answer over to the unit circle and then get 1 to 3 more solutions?

anonymous · Answer

im not sure im trying to teach myself

terenzreignz · Answer

Look on the unit circle... for what angle values is the cosine (x-coordinate) equal to 1?

anonymous · Answer

would it be across from pi/6

terenzreignz · Answer

No... besides, your question wants it in degrees, doesn't it?

anonymous · Answer

5pi/6 no it wants it pi over a #

anonymous · Answer

or n pi over a #

terenzreignz · Answer

mhmm... so for which angle-measures is cosine equal to 1?

terenzreignz · Answer

You have to look at that unit circle~

anonymous · Answer

180?

terenzreignz · Answer

180... cos(180) = -1
try again :P

anonymous · Answer

attachment

terenzreignz · Answer

cos 0 = 1
Good catch :)
anything else?

anonymous · Answer

pi/2

terenzreignz · Answer

nope... cos (pi/2) = 0

anonymous · Answer

what about the 3x

terenzreignz · Answer

yeah... so for cos(3x) to be 1
3x has to be 0
3x = 0
Now solve for x 
:)

anonymous · Answer

x=0

terenzreignz · Answer

And that is your answer~ 
:)

terenzreignz · Answer

Of course, in trigonometric functions, essentially
$$\huge 0 \iff 2\pi$$ right?