Question

Medal award! What are the positive and negative measures of the closest coterminal angles to 1.1 radians?

Answer 1

Hmm I don't understand the question :d

Do they want the degree measure?
Or they want the closest "special angle" maybe?

Answer 2

I think they want radians

Answer 3

Hmm ok :)
Then for co-terminal we want to spin a full rotation around the circle and land in the same spot.

So one co-terminal angle would be: \(\large\rm 1.1+2\pi\)

Answer 4

How bout if we want to spin backwards?
Any ideas? :)

Answer 5

the thing is I believe they want us to convert the 1.1 into a fraction

Answer 6

and of course you will go clockwise for the negative :)

Answer 7

Hmm there is no reason for us to write as a fraction if we're staying in radians.
Unless you want to relate it to one of your special angles.
1.1 radians is approximately 31.5 degrees which is approximately pi/6.
But I don't think that's what they're asking for.

Hmmm....

Answer 8

I put in 11pi/10-10pi/5 which is -9pi/10 for the negative angle. and for the positive 11pi/10+10pi/5 which is 31pi/10 but that is incorrect.

Answer 9

Well keep in mind that:\[\large\rm 1.1=\frac{11}{10}\]\[\large\rm 1.1\ne\frac{11\pi}{10}\]

Answer 10

You can get a common denominator if you like,\[\large\rm \frac{11}{10}+\frac{20\pi}{10}=\frac{11+20\pi}{10}\]But it looks a lot nicer if you just leave it as \(\large\rm 1.1+2\pi\)

Answer 11

Just don't combine the numerators:\[\large\rm 11+20\pi\ne31\pi\]:)

Answer 12

so for the positive angle it would just be 1.1+2pi?

Answer 13

ya i think that's all they want us to input.
Do you get multiple guesses? XD

Answer 14

I get 3 attempts and then I get a new problem

Answer 15

and for the negative it was be 1.1-2pi?

Answer 16

yes

Answer 17

that's correct :) thanks so much

Answer 18

yay team \c:/

Answer 19

:D