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Math Help - Trig please Help!

  1. #1
    Senior Member
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    Trig please Help!

    Convert each degree measure to radians. Give answers to the nearest hundredth of a radian.
    1. 112 degrees
    2. 252.5 degrees
    3. 210 degrees 35'

    Convert each radian measure to degrees. Give answers to nearest tenth of a degree.
    4. 1.8
    5. 3.5
    6. 2.41

    Find two angles, one positive and one negative that are coterminal with each given angle. If problem is given in p rads give answer in simplified p rads.
    7. 980 degrees
    8. 240 degrees 25'
    9. 4p/3
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  2. #2
    Member great_math's Avatar
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    Quote Originally Posted by yoman360 View Post
    Convert each degree measure to radians. Give answers to the nearest hundredth of a radian.
    1. 112 degrees
    2. 252.5 degrees
    3. 210 degrees 35'

    Convert each radian measure to degrees. Give answers to nearest tenth of a degree.
    4. 1.8
    5. 3.5
    6. 2.41

    Find two angles, one positive and one negative that are coterminal with each given angle. If problem is given in p rads give answer in simplified p rads.
    7. 980 degrees
    8. 240 degrees 25'
    9. 4p/3
    1)

    180^\circ=\pi radians

    1^\circ=\frac{\pi}{180} radians

    112^\circ=\frac{\pi}{180}\cdot112 radians =0.622\pi radians

    You can do the rest..

    4) \pi \mbox{ rad}=180^\circ

    1 \mbox{ rad} = \frac {180^\circ} {\pi}

    1.8 \mbox{ rad}=\frac {180^\circ} {\pi}\cdot 1.8 \approx (57.2958\times1.8)^\circ \approx 103.13244^\circ

    rest try yourself
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  3. #3
    Super Member
    Joined
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    Quote Originally Posted by yoman360 View Post
    Find two angles, one positive and one negative that are coterminal with each given angle. If problem is given in p rads give answer in simplified p rads.
    7. 980 degrees
    8. 240 degrees 25'
    9. 4p/3
    Coterminal angles differ by multiples of 360 or 2\pi, so start adding or subtracting multiples of 360 or 2\pi until you get one positive and one negative. For #7, here is one possible set of answers:

    980^{\circ} - 360^{\circ} = 620^{\circ} and

    980^{\circ} - (3 \times 360^{\circ}) = 980^{\circ} - 1080^{\circ} = \text{-}100^{\circ}

    You try #8 & 9.


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