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Math Help - sin(x*PI/180) ~ 0.17...

  1. #1
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    sin(x*PI/180) ~ 0.17...

    Hi guys,

    I have the following information
    sin(x*PI/180) ~ 0.17...

    I need a formula to find the approximate value of x in different instances.

    eg.
    sin(x*PI/180) ~ 0.50...
    sin(x*PI/180) ~ 0.98...

    I appreciate the help.
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by notorious View Post
    Hi guys,

    I have the following information
    sin(x*PI/180) ~ 0.17...

    I need a formula to find the approximate value of x in different instances.

    eg.
    sin(x*PI/180) ~ 0.50...
    sin(x*PI/180) ~ 0.98...

    I appreciate the help.
    What are the possible values of sin^{-1}(0.17...)?

    -Dan
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  3. #3
    Newbie
    Joined
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    Quote Originally Posted by topsquark View Post
    What are the possible values of sin^{-1}(0.17...)?

    -Dan
    Hi Dan,

    Thanks for your reply.

    I would be substituting the following values and want to return the corresponding x value:
    x=0 -> 0
    x=1 -> 0.01745240643728351
    x=2 -> 0.03489949670250097
    x=3 -> 0.05233595624294383
    x=4 -> 0.0697564737441253
    x=5 -> 0.08715574274765817
    x=6 -> 0.10452846326765346
    x=7 -> 0.12186934340514748
    x=8 -> 0.13917310096006544
    x=9 -> 0.15643446504023087
    x=10 -> 0.17364817766693033
    x=11 -> 0.1908089953765448
    x=12 -> 0.20791169081775931
    x=13 -> 0.224951054343865
    x=14 -> 0.24192189559966773
    x=15 -> 0.25881904510252074
    x=16 -> 0.27563735581699916
    x=17 -> 0.29237170472273677
    x=18 -> 0.3090169943749474
    x=19 -> 0.32556815445715664
    x=20 -> 0.3420201433256687
    x=21 -> 0.35836794954530027
    x=22 -> 0.374606593415912
    x=23 -> 0.3907311284892737
    x=24 -> 0.40673664307580015
    x=25 -> 0.42261826174069944
    x=26 -> 0.4383711467890774
    x=27 -> 0.45399049973954675
    x=28 -> 0.4694715627858908
    x=29 -> 0.48480962024633706
    x=30 -> 0.49999999999999994
    x=31 -> 0.5150380749100542
    x=32 -> 0.5299192642332049
    x=33 -> 0.5446390350150271
    x=34 -> 0.5591929034707469
    x=35 -> 0.573576436351046
    x=36 -> 0.5877852522924731
    x=37 -> 0.6018150231520483
    x=38 -> 0.6156614753256582
    x=39 -> 0.6293203910498374
    x=40 -> 0.6427876096865393
    x=41 -> 0.6560590289905072
    x=42 -> 0.6691306063588582
    x=43 -> 0.6819983600624985
    x=44 -> 0.6946583704589973
    x=45 -> 0.7071067811865475
    x=46 -> 0.7193398003386511
    x=47 -> 0.7313537016191705
    x=48 -> 0.7431448254773941
    x=49 -> 0.7547095802227719
    x=50 -> 0.766044443118978
    x=51 -> 0.7771459614569708
    x=52 -> 0.7880107536067219
    x=53 -> 0.7986355100472928
    x=54 -> 0.8090169943749473
    x=55 -> 0.8191520442889917
    x=56 -> 0.8290375725550416
    x=57 -> 0.8386705679454239
    x=58 -> 0.848048096156426
    x=59 -> 0.8571673007021121
    x=60 -> 0.8660254037844386
    x=61 -> 0.8746197071393957
    x=62 -> 0.8829475928589269
    x=63 -> 0.8910065241883678
    x=64 -> 0.898794046299167
    x=65 -> 0.9063077870366499
    x=66 -> 0.9135454576426009
    x=67 -> 0.9205048534524403
    x=68 -> 0.9271838545667874
    x=69 -> 0.9335804264972017
    x=70 -> 0.9396926207859083
    x=71 -> 0.9455185755993167
    x=72 -> 0.9510565162951535
    x=73 -> 0.9563047559630354
    x=74 -> 0.9612616959383189
    x=75 -> 0.9659258262890683
    x=76 -> 0.9702957262759965
    x=77 -> 0.9743700647852352
    x=78 -> 0.9781476007338056
    x=79 -> 0.981627183447664
    x=80 -> 0.984807753012208
    x=81 -> 0.9876883405951378
    x=82 -> 0.9902680687415703
    x=83 -> 0.992546151641322
    x=84 -> 0.9945218953682733
    x=85 -> 0.9961946980917455
    x=86 -> 0.9975640502598242
    x=87 -> 0.9986295347545738
    x=88 -> 0.9993908270190958
    x=89 -> 0.9998476951563913
    x=90 -> 1

    Many thanks
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