Question

solve cot(2x)=0

Answer 1

Can you solve :
cos(2x) = 0
??

Answer 2

Take the inverse cotangent of each side, then divide each side by two.

That is my thought at least.

Answer 3

ok thank you austinL

Answer 4

Let me know what you get, and I will compare it to that of my own answer.

Answer 5

anything yet?

Answer 6

I think that the response is 45° but i'm not certainly

Answer 7

note that cot (2x) = 1 / tan (2x)
now plug in x = 45 into 1 / tan 2x and use your calculator to work it out

Answer 8

what do you get?

Answer 9

you'll get an error because tan 90 has no value

Answer 10

then you know exactly solve it please? I don't know how to do to resolve it

Answer 11

there is no solution

Answer 12

ok thanks anyway

Answer 13

yw

Answer 14

if we write
1 / tan 2x = = 0

we see that if tan 2x approaches infinity then we can approach very close to zero but will never get there - at values just below 2x = 90 degrees ( ie values very close but just under x = 45 degrees) we can get very close to 0 but can never reach 0

Answer 15

@cwrw238
I am sorry I don't quite understand your line of reasoning. Why does "cot(2x)=0" has no solution ??

Answer 16

http://www.wolframalpha.com/input/?i=cot+%282x%29+%3D+0

this link does give a solution so there must be something wrong with my reasoning

Answer 17

Yea..Because cot(2x) will be zero whenever cos(2x) = 0
That's what I though..

Answer 18

*thought

Answer 19

yes thats correct

Answer 20

:)