1. ## Trig Problem

Hello,

I have a trig worksheet to do and i am stuck on question 3 and 6.

Question 3 states: Through how many radians does a wheel of radius one travel if it travels 5 feet down the road.

I know the circumference of the circle is 2pi. but how do i find out how many times does it rotate?

Question 6 states: If the $\displaystyle \tan x=1$, what is $\displaystyle \cos x$ and what is $\displaystyle \cot x$?

i know that $\displaystyle \tan=\frac {opposite}{hypotenuse}$ and that $\displaystyle \cos=\frac {adjacent}{hypotenuse}$ and $\displaystyle \cot= \frac {adjacent}{opposite}$. So would everything be 1? 1=hypotenuse/adjacent/opposite?

I have attached my one page worksheet if you did not understand. Also if you could make sure the other problems are correct, then that would be great.

I greatly appreciate everybodies help.

Thank You

2. Draw a triangle with opposite and adjacent equal. What's the hypotenuse?

3. O, i see, the hypotenuse is $\displaystyle \sqrt 2$. Thank you, do you have any feedback for question number 3?

Thanks again.

4. Question 3 states: Through how many radians does a wheel of radius one travel if it travels 5 feet down the road.
What you need to know here is that after one rotation, the wheel has travelled a distance equal to the circumference (we usually assume in these problems that the wheel does not slip against the ground)