Error on my Prime G2
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08-25-2023, 03:53 PM
Post: #8
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RE: Error on my Prime G2
If you try to simplify trigonometric expressions like simplify(tan(45)-cos(56)) in radians mode (this is the default inside CAS, I guess it's not what you expected), the CAS will rewrite it in "normal" form, it takes the integer gcd of the arguments of 45 and 56, and rewrites everything with sin/cos of the gcd. This normal form helps deciding if an expression is 0 or not, e.g. simplify(tan(2)-sin(2)/(2*cos(1)^2-1)) will return 0, a floating point computation like tan(2.0)-sin(2)/(2*cos(1)^2-1) would not return 0, but a small value.
Here the gcd of 45 and 56 is 1, therefore you will get a huge rational expression in terms of cos(1) and sin(1), see at the bottom. I do not recommend setting simplify to maximum in the settings, especially if you are a beginner with CAS mode, it's easy to call simplify with the menu at the bottom of the screen. I would also recommend to stay in HOME mode if you are doing purely numeric computations in degree mode. Code: (-633825300114114700748351602688*cos(1)^101+16004088827881396193895877967872*cos(1)^99-196050088141547103375224505106432*cos(1)^97+1552396616304495430807900162883584*cos(1)^95-8932282077061304250718136890818560*cos(1)^93+39804482005904437067262697519710208*cos(1)^91-142981889310683043675825216090537984*cos(1)^89+425468904666135865527759533594640384*cos(1)^87-1069676863142482710308701891920396288*cos(1)^85+2306006281049917437078542122074767360*cos(1)^83-4311724930996081889218834528252985344*cos(1)^81+7055549887084497636903547409868521472*cos(1)^79-10177036143308678473454976390358106112*cos(1)^77+13014863529423598432399152499207962624*cos(1)^75-14826045276744862746267507465230745600*cos(1)^73+15101878677242441588058530859932712960*cos(1)^71-13797120776818921818502003377548820480*cos(1)^69+11333349209529828636626645631557959680*cos(1)^67-8386223260465345085535981757488168960*cos(1)^65+5597992420336302239382170107694284800*cos(1)^63-3374345431147159960960919203804610560*cos(1)^61+1837813136606935335880500637786439680*cos(1)^59-904631264883333245020580147080724480*cos(1)^57+402394509128706761163000533651292160*cos(1)^55-161676365274926823681562714413465600*cos(1)^53+58628955618118200798208794858356736*cos(1)^51-19167158567461719491722106011385856*cos(1)^49+5640785404237983514080379546894336*cos(1)^47-1491606903615768145479669836152832*cos(1)^45+17592186044416*cos(1)^44*sin(1)+353613705598565724143887245639680*cos(1)^43-189115999977472*cos(1)^42*sin(1)-74956144637442452793880324603904*cos(1)^41+946679511515136*cos(1)^40*sin(1)+14162220876198804444926697275392*cos(1)^39-2930198488023040*cos(1)^38*sin(1)-2376405269307815691506042273792*cos(1)^37+6280272978903040*cos(1)^36*sin(1)+352648375525625055825094508544*cos(1)^35-9891429941772288*cos(1)^34*sin(1)-46054825161928645350292193280*cos(1)^33+11857034609688576*cos(1)^32*sin(1)+5263408589934702325747679232*cos(1)^31-11054678884220928*cos(1)^30*sin(1)-522966879128127474673647616*cos(1)^29+8122948166615040*cos(1)^28*sin(1)+44832042425257549560283136*cos(1)^27-4738386430525440*cos(1)^26*sin(1)-3286559501099707580547072*cos(1)^25+2199965128458240*cos(1)^24*sin(1)+203880862351098485145600*cos(1)^23-811751838842880*cos(1)^22*sin(1)-10570052904677851791360*cos(1)^21+236760952995840*cos(1)^20*sin(1)+451160794711859527680*cos(1)^19-54068006092800*cos(1)^18*sin(1)-15566686016087162880*cos(1)^17+9530420428800*cos(1)^16*sin(1)+424432497631887360*cos(1)^15-1270722723840*cos(1)^14*sin(1)-8884651565260800*cos(1)^13+124607508480*cos(1)^12*sin(1)+137500559938048*cos(1)^11-8638755840*cos(1)^10*sin(1)-1494571302272*cos(1)^9+399942400*cos(1)^8*sin(1)+10599795072*cos(1)^7-11334400*cos(1)^6*sin(1)-43748544*cos(1)^5+170016*cos(1)^4*sin(1)+85740*cos(1)^3-1012*cos(1)^2*sin(1)-45*cos(1)+sin(1))/(17592186044416*cos(1)^45-197912092999680*cos(1)^43+1039038488248320*cos(1)^41-3380998255411200*cos(1)^39+7638169839206400*cos(1)^37-12717552782278656*cos(1)^35+16168683558666240*cos(1)^33-16047114509352960*cos(1)^31+12604574741299200*cos(1)^29-7897310717542400*cos(1)^27+3959937231224832*cos(1)^25-1588210119475200*cos(1)^23+507344899276800*cos(1)^21-128055803904000*cos(1)^19+25227583488000*cos(1)^17-3812168171520*cos(1)^15+431333683200*cos(1)^13-35340364800*cos(1)^11+1999712000*cos(1)^9-72864000*cos(1)^7+1530144*cos(1)^5-15180*cos(1)^3+45*cos(1)) |
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Messages In This Thread |
Error on my Prime G2 - Quadratica - 08-23-2023, 04:50 PM
RE: Error on my Prime G2 - Nigel (UK) - 08-23-2023, 05:31 PM
RE: Error on my Prime G2 - Insoft - 08-23-2023, 05:39 PM
RE: Error on my Prime G2 - Rigel - 08-23-2023, 05:40 PM
RE: Error on my Prime G2 - Quadratica - 08-23-2023, 06:33 PM
RE: Error on my Prime G2 - Quadratica - 08-23-2023, 06:49 PM
RE: Error on my Prime G2 - Quadratica - 08-25-2023, 03:23 PM
RE: Error on my Prime G2 - parisse - 08-25-2023 03:53 PM
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