1. ## 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.

2. Originally Posted by notorious
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 $\displaystyle sin^{-1}(0.17...)$?

-Dan

3. Originally Posted by topsquark
What are the possible values of $\displaystyle sin^{-1}(0.17...)$?

-Dan
Hi Dan,

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