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Math Help - Trig Problem

  1. #1
    Member OnMyWayToBeAMathProffesor's Avatar
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    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 YouTrig Problem-midterm-extra-credit.jpg
    Last edited by OnMyWayToBeAMathProffesor; January 21st 2008 at 07:37 AM.
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  2. #2
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    Draw a triangle with opposite and adjacent equal. What's the hypotenuse?
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  3. #3
    Member OnMyWayToBeAMathProffesor's Avatar
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    O, i see, the hypotenuse is \sqrt 2. Thank you, do you have any feedback for question number 3?

    Thanks again.
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  4. #4
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    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)
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  5. #5
    Member OnMyWayToBeAMathProffesor's Avatar
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    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
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  6. #6
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    Exactly right. Well done.
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