# Trig Problem

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• January 20th 2008, 02:29 PM
OnMyWayToBeAMathProffesor
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 $\tan x=1$, what is $\cos x$ and what is $\cot x$?

i know that $\tan=\frac {opposite}{hypotenuse}$ and that $\cos=\frac {adjacent}{hypotenuse}$ and $\cot= \frac {adjacent}{opposite}$. 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 YouAttachment 4889
• January 20th 2008, 02:33 PM
a tutor
Draw a triangle with opposite and adjacent equal. What's the hypotenuse?
• January 20th 2008, 03:03 PM
OnMyWayToBeAMathProffesor
O, i see, the hypotenuse is $\sqrt 2$. Thank you, do you have any feedback for question number 3?

Thanks again.
• January 20th 2008, 07:14 PM
badgerigar
Quote:

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)
• January 21st 2008, 06:36 AM
OnMyWayToBeAMathProffesor
reply
so if one rotation is 2pi units, which is approximately 6.283 units, so that means the circle went through 2pi/5 1.26= 1.26 rotations in 5 feet? is this correct? Thanks you
• January 23rd 2008, 06:12 PM
badgerigar
Exactly right. Well done.