Tuesday, February 24, 2009

Trigs

Trigs is based on ratios of line from a right angle triangle.

Draw the following

sin x = 3/5

cos m = 4/7

tan m = 3/ 4

sin m = 3 / 8

cos x = 5 / 8

tan x = 5 / 7

For each find all the angles and all the lengths

10 comments:

  1. first write formula to find angle; sin=opp/hyp
    sin x=3/5
    x=the inverse of sin(3/5)
    x= 36.9 degrees

    length of the adjacent cosx=adj/hyp
    degrees given
    cos36.9degrees=adj/5
    5cos36.9=adj
    therefore adj=4

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  2. first write formula to find angle;cos=adj/hyp
    cosm=4/7
    m=cos inverse 4/7
    m=55.2 degrees

    length of the opposite;sin=opp/hyp
    sin55.2=opp/7
    7sin55.2=opp
    therefore opposite=5.7

    ReplyDelete
  3. first write formula to find angle;tan=opp/adj
    tan m=3/4
    m=tan inverse 3/4
    m=36.9 degrees

    length of hyp;cos angle=adj/hyp
    cos 36.9=4/hyp
    .8=4/hyp
    hyp(0.8)=4
    hyp=4/0.8
    hyp=5

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  4. First write formula to find angle;sin=opp/hyp
    sin m = 3/8
    m= sin inverse of 3/8
    m= 22 degrees

    length of adj;cos= adj/hyp
    cos 22 =adj/8
    8cos22 = adj
    7.4 = adj

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  5. First write the the formula to find angle;cos=opp/hyp
    cosx=5/8
    x=cos inverse of 5/8
    x= 51.3 degrees

    length of opposite
    sin=opp/hyp
    sin51.3=opp/8
    8sin51.3=opp
    opp =6.2

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  6. First write the formula to find the angle; tan angle=opp/adj
    tanx=5/7
    x= tan inverse 5/7
    x= 35.5 degrees

    length of hyp; sin angle=opp/hyp
    sin35.5=5/hyp
    hyp(0.6)=5
    hyp=5/0.6
    therefore length of hypothenuse=8.33

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  7. sin x = 3/5

    to find the angle sin x = opp/hy
    sin inverse of (3/5)=36.87 degrees


    now that a angle is obtained the lenght can be found the lenght cam be found by saying

    cos x = adj/hyp
    cos 36.87 = adj / 5
    cos 36.87 * 5 = adj
    4.0 is the lenght of the adj side

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  8. wel you guys beat me to the questions, star i give u ur props daky and captian also, u all know your stuff.
    it was wel layed out and i underestood everything easily, on the bright side i don't have to rack my head on it,lol

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  9. using our knowledge of trigs given the following formulas sinx= o/h cosx= a/h tanx= o/a
    first find the value of the number of times one lenght can go into another and then find the inverse of the given function to find the angle.
    substitute the found angle into the appropriate equations to find the length required.

    ReplyDelete