8
高校数学解説

三角関数厳密値の表

三角関数,三角比,厳密値
235
0

近似値では満足できない方、座標ゴリ押しを最終奥義とする方向けです。
複素数なしの四則根号のみで表されているで、計算自体はしやすい形になっていると思います。
使い道は限られますが、いざという時に参照できるものとして残しておきます。
θ度sin⁡θcos⁡θtan⁡θsec⁡θcsc⁡θcot⁡θhavθsincθ000101未定義未定義0未定義π603−1+5+3(5−1)+2(5+5)−6(5+5)821−5+3(5−1)+2(5+5)+6(5+5)8223(5−1)+22(5+5)1−5+3(5−1)+2(5+5)+6(5+5)−1821−5+3(5−1)+2(5+5)+6(5+5)82−1+5+3(5−1)+2(5+5)−6(5+5)1−5+3(5−1)+2(5+5)+6(5+5)−1+5+3(5−1)+2(5+5)−6(5+5)132(16+2(3−15−2(5+5))+2(−1+5−6(5+5)))15(−1+5+3(5−1)+2(5+5)−6(5+5))22ππ30618(−1−5+6(5−5))18(2(5−5)+3(1+5))−1+5−6(5−5)3+15+2(5−5)82(5−5)+3(1+5)−81+5−6(5−5)−3+15+2(5−5)1+5−6(5−5)116(8−2(5−5)−3(1+5))−15(1+5−6(5−5))4ππ20918(2(1+5)−25−5)18(25−5+2(1+5))1−45−52+10+25−582+10+25−582+10−25−51+45−52+10−25−5116(8−25−5−2(1+5))5(2+10−25−5)2ππ1611.25122−2+2122+2+22−2+22+2+222+2+222−2+22+2+22−2+214(2−2+2+2)82−2+2ππ151218(3−15+2(5+5))18(−1+5+6(5+5))3−15+2(5+5)−1+5+6(5+5)8−1+5+6(5+5)83−15+2(5+5)−−1+5+6(5+5)3(5−1)−2(5+5)116(9−5−6(5+5))15(3−15+2(5+5))8ππ12153−1221+3222−32(3−1)2(1+3)2+318(4−2(1+3))32(3−1)ππ101814(5−1)58+581−25158+581+55+2512(1−58+58)5(5−1)2π7π60211+5+2(5−5)+6(5−5)−3(1+5)821+5−2(5−5)+6(5−5)+3(1+5)821+22(5−5)−23(1+5)1+5−2(5−5)+6(5−5)+3(1+5)821+5−2(5−5)+6(5−5)+3(1+5)821+5+2(5−5)+6(5−5)−3(1+5)1+2(3(1+5)−2(5−5))1+5+2(5−5)+6(5−5)−3(1+5)132(16−2−10+25−5−23(5−5)−6(1+5))15(1+5+2(5−5)+6(5−5)−3(1+5))142ππ822.52−222+222−22+222+222−22+22−214(2−2+2)42−2π2π152418(3(1+5)−2(5−5))18(1+5+6(5−5))3+15−2(5−5)1+5+6(5−5)81+5+6(5−5)83(1+5)−2(5−5)1+5+6(5−5)3+15−2(5−5)116(7−5−6(5−5))15(3(1+5)−2(5−5))16π3π202718(25+5−2(5−1))18(2(5−1)+25+5)45+5−2+10+25+5−18−2+10+25+5825+5−2(5−1)45+52−10+25+5−1116(8+2−10−25+5)5(2−10+25+5)6ππ630123213232314(2−3)3π11π6033−1+5+3(5−1)−2(5+5)+6(5+5)82−1+3+5−15+2(5+5)+6(5+5)821+2(3(5−1)−2(5+5))−1+3+5−15+2(5+5)+6(5+5)−821−5+3(5−1)−2(5+5)−6(5+5)82−1+5+3(5−1)−2(5+5)+6(5+5)−1+3+5−15+2(5+5)+6(5+5)−1+5+3(5−1)−2(5+5)+6(5+5)132(16+2−10+6(5−1)−25+5−23(5+5))15(−1+5+3(5−1)−2(5+5)+6(5+5))222π3π1633.7512(2−2+2+(2+2)(2−2+2))12((2+2)(2+2+2)−2+2+2)2−2+2+(2+2)(2−2+2)(2+2)(2+2+2)−2+2+22(2+2)(2+2+2)−2+2+222−2+2+(2+2)(2−2+2)(2+2)(2+2+2)−2+2+22−2+2+(2+2)(2−2+2)14(2+2+2+2−(2+2)(2+2+2))8(2−2+2+(2+2)(2−2+2))3ππ53658−5814(1+5)5−255−1158−581+2518(3−5)558−58π13π60391+5+2(5−5)−6(5−5)+3(1+5)82−1−5+2(5−5)+6(5−5)+3(1+5)822(2(5−5)+3(1+5))−1−5+2(5−5)+6(5−5)+3(1+5)−182−1−5+2(5−5)+6(5−5)+3(1+5)821+5+2(5−5)−6(5−5)+3(1+5)−1−5+2(5−5)+6(5−5)+3(1+5)1+5+2(5−5)−6(5−5)+3(1+5)132(16+2+10−25−5−23(5−5)−6(1+5))15(1+5+2(5−5)−6(5−5)+3(1+5))262π7π304218(1−5+6(5+5))18(3(5−1)+2(5+5))1−5+6(5+5)3(5−1)+2(5+5)83(5−1)+2(5+5)81−5+6(5+5)3−15−2(5+5)−1+5−6(5+5)116(8+3−15−2(5+5))−15(−1+5−6(5+5))28ππ4451212122114(2−2)22π4π154818(3(5−1)+2(5+5))18(1−5+6(5+5))3−15−2(5+5)−1+5−6(5+5)81−5+6(5+5)83(5−1)+2(5+5)1−5+6(5+5)3(5−1)+2(5+5)116(7+5−6(5+5))15(3(5−1)+2(5+5))32π17π6051−1−5+2(5−5)+6(5−5)+3(1+5)821+5+2(5−5)−6(5−5)+3(1+5)82−1−5+2(5−5)+6(5−5)+3(1+5)1+5+2(5−5)−6(5−5)+3(1+5)821+5+2(5−5)−6(5−5)+3(1+5)82−1−5+2(5−5)+6(5−5)+3(1+5)2(2(5−5)+3(1+5))−1−5+2(5−5)+6(5−5)+3(1+5)−1132(16−2−10−25−5+23(5−5)−6(1+5))15(−1−5+2(5−5)+6(5−5)+3(1+5))342π3π105414(1+5)58−581+25158−585−15−2512(1−58−58)5(1+5)6π5π1656.2512((2+2)(2+2+2)−2+2+2)12(2−2+2+(2+2)(2−2+2))(2+2)(2+2+2)−2+2+22−2+2+(2+2)(2−2+2)22−2+2+(2+2)(2−2+2)2(2+2)(2+2+2)−2+2+22−2+2+(2+2)(2−2+2)(2+2)(2+2+2)−2+2+214(2−2−2+2−(2+2)(2−2+2))8((2+2)(2+2+2)−2+2+2)5π19π6057−1+3+5−15+2(5+5)+6(5+5)82−1+5+3(5−1)−2(5+5)+6(5+5)82−1+3+5−15+2(5+5)+6(5+5)−1+5+3(5−1)−2(5+5)+6(5+5)82−1+5+3(5−1)−2(5+5)+6(5+5)−821−5+3(5−1)−2(5+5)−6(5+5)1+2(3(5−1)−2(5+5))−1+3+5−15+2(5+5)+6(5+5)132(16+2−10−6(5−1)+25+5−23(5+5))−15(1−5+3(5−1)−2(5+5)−6(5+5))382ππ360321232231314332π7π206318(2(5−1)+25+5)18(25+5−2(5−1))45+52−10+25+5−1825+5−2(5−1)8−2+10+25+545+5−2+10+25+5−1116(8−2+10−25+5)5(−2+10+25+5)14π11π306618(1+5+6(5−5))18(3(1+5)−2(5−5))1+5+6(5−5)3+15−2(5−5)83(1+5)−2(5−5)81+5+6(5−5)3+15−2(5−5)1+5+6(5−5)116(2(4+12(5−5))−3(1+5))15(1+5+6(5−5))44π3π867.52+222−222+22−222−222+22−22+214(2−2−2)42+23π23π60691+5−2(5−5)+6(5−5)+3(1+5)821+5+2(5−5)+6(5−5)−3(1+5)821+2(3(1+5)−2(5−5))1+5+2(5−5)+6(5−5)−3(1+5)821+5+2(5−5)+6(5−5)−3(1+5)821+5−2(5−5)+6(5−5)+3(1+5)1+22(5−5)−23(1+5)1+5−2(5−5)+6(5−5)+3(1+5)132(16−2+6+10(3−1)−25−5−23(5−5))15(1+5−2(5−5)+6(5−5)+3(1+5))462π2π57258+5814(5−1)5+251+5158+581−2518(5−5)558+582π5π12751+3223−1222+32(1+3)2(3−1)2−318(4+2−6)32(1+3)5π13π307818(−1+5+6(5+5))18(3−15+2(5+5))−−1+5+6(5+5)3(5−1)−2(5+5)83−15+2(5+5)8−1+5+6(5+5)3−15+2(5+5)−1+5+6(5+5)116(8+3(5−1)−2(5+5))15(−1+5+6(5+5))52π7π1678.75122+2+2122−2+22+2+22−2+222−2+222+2+22−2+22+2+214(2−2−2+2)82+2+27π9π208118(25−5+2(1+5))18(2(1+5)−25−5)1+45−52+10−25−582+10−25−582+10+25−51−45−52+10+25−5116(8+25−5−2(1+5))5(2+10+25−5)18π7π158418(2(5−5)+3(1+5))18(−1−5+6(5−5))−3+15+2(5−5)1+5−6(5−5)−81+5−6(5−5)82(5−5)+3(1+5)−1+5−6(5−5)3+15+2(5−5)116(9+5−6(5−5))15(2(5−5)+3(1+5))56π29π60871−5+3(5−1)+2(5+5)+6(5+5)82−1+5+3(5−1)+2(5+5)−6(5+5)821−5+3(5−1)+2(5+5)+6(5+5)−1+5+3(5−1)+2(5+5)−6(5+5)82−1+5+3(5−1)+2(5+5)−6(5+5)821−5+3(5−1)+2(5+5)+6(5+5)23(5−1)+22(5+5)1−5+3(5−1)+2(5+5)+6(5+5)−1132(16+2−10−6(5−1)−25+5+23(5+5))15(1−5+3(5−1)+2(5+5)+6(5+5))582ππ29010未定義未定義10122π31π60931−5+3(5−1)+2(5+5)+6(5+5)82−−1+5+3(5−1)+2(5+5)−6(5+5)821+−23(5−1)−22(5+5)−1+5+3(5−1)+2(5+5)−6(5+5)−82−1+5+3(5−1)+2(5+5)−6(5+5)821−5+3(5−1)+2(5+5)+6(5+5)1+−23(5−1)−22(5+5)1−5+3(5−1)+2(5+5)+6(5+5)132(16−2+10+6(5−1)+25+5−23(5+5))15(1−5+3(5−1)+2(5+5)+6(5+5))622π8π159618(2(5−5)+3(1+5))18(1+5−6(5−5))3+15+2(5−5)1+5−6(5−5)81+5−6(5−5)82(5−5)+3(1+5)1+5−6(5−5)3+15+2(5−5)116(7−5+6(5−5))15(2(5−5)+3(1+5))64π11π209918(25−5+2(1+5))18(25−5−2(1+5))−1−45−52+10−25−5−82+10−25−582+10+25−545−52+10+25−5−1116(8+2+10−25−5)5(2+10+25−5)22π9π16101.25122+2+2−122−2+2−2+2+22−2+2−22−2+222+2+2−2−2+22+2+214(2+2−2+2)82+2+29π17π3010218(−1+5+6(5+5))18(3(5−1)−2(5+5))−1+5+6(5+5)3(5−1)−2(5+5)83(5−1)−2(5+5)8−1+5+6(5+5)3(5−1)−2(5+5)−1+5+6(5+5)116(8+3−15+2(5+5))15(−1+5+6(5+5))68π7π121051+322−3−122−2−3−2(1+3)2(3−1)3−218(4+2(3−1))32(1+3)7π3π510858+5814(1−5)−5+25−1−5158+58−1−2518(3+5)558+583π37π601111+5−2(5−5)+6(5−5)+3(1+5)82−1−5−2(5−5)−6(5−5)+3(1+5)82−1−2(3(1+5)−2(5−5))1+5+2(5−5)+6(5−5)−3(1+5)−821+5+2(5−5)+6(5−5)−3(1+5)821+5−2(5−5)+6(5−5)+3(1+5)2(3(1+5)−2(5−5))1+5−2(5−5)+6(5−5)+3(1+5)−1132(16+2+10+25−5+23(5−5)−6(1+5))15(1+5−2(5−5)+6(5−5)+3(1+5))742π5π8112.52+22−122−2−2+22−2−22−222+2−2−22+214(2+2−2)42+25π19π3011418(1+5+6(5−5))18(2(5−5)−3(1+5))−1+5+6(5−5)3+15−2(5−5)−83(1+5)−2(5−5)81+5+6(5−5)2(5−5)−3(1+5)1+5+6(5−5)116(8−2(5−5)+3(1+5))15(1+5+6(5−5))76π13π2011718(2(5−1)+25+5)18(2(5−1)−25+5)1−45+52−10+25+5−82−10+25+58−2+10+25+51+45+52−10−25+5116(8+2−10+25+5)5(−2+10+25+5)26π2π312032−12−3−223−1334334π41π60123−1+3+5−15+2(5+5)+6(5+5)82−−1+5+3(5−1)−2(5+5)+6(5+5)8223(5−1)−22(5+5)−1+5+3(5−1)−2(5+5)+6(5+5)−1−82−1+5+3(5−1)−2(5+5)+6(5+5)−821−5+3(5−1)−2(5+5)−6(5+5)−1−2(3(5−1)−2(5+5))−1+3+5−15+2(5+5)+6(5+5)132(16+2(3(5−1)−2(5+5))+2(−1+5+6(5+5)))−15(1−5+3(5−1)−2(5+5)−6(5+5))822π11π16123.7512((2+2)(2+2+2)−2+2+2)12(−2−2+2−(2+2)(2−2+2))2+2+2−(2+2)(2+2+2)2−2+2+(2+2)(2−2+2)−22−2+2+(2+2)(2−2+2)2(2+2)(2+2+2)−2+2+22−2+2+(2+2)(2−2+2)2+2+2−(2+2)(2+2+2)14(2+2−2+2+(2+2)(2−2+2))8((2+2)(2+2+2)−2+2+2)11π7π1012614(1+5)−58−58−1+25−158−585−1−5−2512(1+58−58)5(1+5)14π43π60129−1−5+2(5−5)+6(5−5)+3(1+5)82−1+5+2(5−5)−6(5−5)+3(1+5)821+5−2(5−5)−6(5−5)−3(1+5)1+5+2(5−5)−6(5−5)+3(1+5)−821+5+2(5−5)−6(5−5)+3(1+5)82−1−5+2(5−5)+6(5−5)+3(1+5)1−2(2(5−5)+3(1+5))−1−5+2(5−5)+6(5−5)+3(1+5)132(16+2+10+25−5−23(5−5)+6(1+5))15(−1−5+2(5−5)+6(5−5)+3(1+5))862π11π1513218(3(5−1)+2(5+5))18(−1+5−6(5+5))3(5−1)+2(5+5)−1+5−6(5+5)8−1+5−6(5+5)83(5−1)+2(5+5)−1+5−6(5+5)3(5−1)+2(5+5)116(9−5+6(5+5))15(3(5−1)+2(5+5))88π3π413512−12−1−22−114(2+2)223π23π3013818(1−5+6(5+5))18(3−15−2(5+5))−1+5−6(5+5)3(5−1)+2(5+5)−83(5−1)+2(5+5)81−5+6(5+5)3(5−1)+2(5+5)−1+5−6(5+5)116(3(5−1)+2(4+12(5+5)))−15(−1+5−6(5+5))92π47π601411+5+2(5−5)−6(5−5)+3(1+5)821+5−2(5−5)−6(5−5)−3(1+5)821−2(2(5−5)+3(1+5))−1−5+2(5−5)+6(5−5)+3(1+5)−82−1−5+2(5−5)+6(5−5)+3(1+5)821+5+2(5−5)−6(5−5)+3(1+5)1+5−2(5−5)−6(5−5)−3(1+5)1+5+2(5−5)−6(5−5)+3(1+5)132(16−2+6+10(3−1)+25−5+23(5−5))15(1+5+2(5−5)−6(5−5)+3(1+5))942π4π514458−5814(−1−5)−5−251−5158−58−1+2518(5+5)558−584π13π16146.2512(2−2+2+(2+2)(2−2+2))12(2+2+2−(2+2)(2+2+2))2−2+2+(2+2)(2−2+2)2+2+2−(2+2)(2+2+2)22+2+2−(2+2)(2+2+2)22−2+2+(2+2)(2−2+2)2+2+2−(2+2)(2+2+2)2−2+2+(2+2)(2−2+2)14(2−2+2+2+(2+2)(2+2+2))8(2−2+2+(2+2)(2−2+2))13π49π60147−1+5+3(5−1)−2(5+5)+6(5+5)821−5+3(5−1)−2(5+5)−6(5+5)82−1−2(3(5−1)−2(5+5))−1+3+5−15+2(5+5)+6(5+5)821−5+3(5−1)−2(5+5)−6(5+5)82−1+5+3(5−1)−2(5+5)+6(5+5)23(5−1)−22(5+5)−1+5+3(5−1)−2(5+5)+6(5+5)−1132(16+2(3−15+2(5+5))+2(−1+5+6(5+5)))15(−1+5+3(5−1)−2(5+5)+6(5+5))982π5π615012−32−13−232−314(2+3)35π17π2015318(25+5−2(5−1))18(−2(5−1)−25+5)1+45+52−10−25+582−10−25+5825+5−2(5−1)1−45+52−10+25+5116(8−2+10+25+5)5(2−10+25+5)34π13π1515618(3(1+5)−2(5−5))18(−1−5−6(5−5))2(5−5)−3(1+5)1+5+6(5−5)−81+5+6(5−5)83(1+5)−2(5−5)−1+5+6(5−5)3+15−2(5−5)116(9+5+6(5−5))15(3(1+5)−2(5−5))104π7π8157.52−22−122+2−2−22+2−22+222−2−2+22−214(2+2+2)42−27π53π601591+5+2(5−5)+6(5−5)−3(1+5)82−1+5−2(5−5)+6(5−5)+3(1+5)822(3(1+5)−2(5−5))1+5−2(5−5)+6(5−5)+3(1+5)−1−821+5−2(5−5)+6(5−5)+3(1+5)821+5+2(5−5)+6(5−5)−3(1+5)−1−2(3(1+5)−2(5−5))1+5+2(5−5)+6(5−5)−3(1+5)132(16+2+10−25−5+23(5−5)+6(1+5))15(1+5+2(5−5)+6(5−5)−3(1+5))1062π9π1016214(5−1)−58+58−1−25−225+51+5−5+2512(1+58+58)5(5−1)18π11π121653−122−1+3223−2−2(3−1)2(1+3)−2−318(4+2+6)32(3−1)11π14π1516818(3−15+2(5+5))18(1−5−6(5+5))3(5−1)−2(5+5)−1+5+6(5+5)−8−1+5+6(5+5)83−15+2(5+5)−1+5+6(5+5)3(5−1)−2(5+5)116(7+5+6(5+5))15(3−15+2(5+5))112π15π16168.75122−2+2−122+2+2−2−2+22+2+2−22+2+222−2+2−2+2+22−2+214(2+2+2+2)82−2+215π19π2017118(2(1+5)−25−5)18(−25−5−2(1+5))45−52+10+25−5−1−82+10+25−582+10−25−5−1−45−52+10−25−5116(8+2+10+25−5)5(2+10−25−5)38π29π3017418(−1−5+6(5−5))−1412(5−5)−183(1+5)1+5−6(5−5)3+15+2(5−5)−82(5−5)+3(1+5)−81+5−6(5−5)3+15+2(5−5)1+5−6(5−5)116(8+3+15+2(5−5))−15(1+5−6(5−5))116π59π60177−1+5+3(5−1)+2(5+5)−6(5+5)82−1+3+5−15−2(5+5)−6(5+5)821+−23(5−1)−22(5+5)1−5+3(5−1)+2(5+5)+6(5+5)−821−5+3(5−1)+2(5+5)+6(5+5)82−1+5+3(5−1)+2(5+5)−6(5+5)1+−23(5−1)−22(5+5)−1+5+3(5−1)+2(5+5)−6(5+5)132(16+2−10+6(5−1)+25+5+23(5+5))15(−1+5+3(5−1)+2(5+5)−6(5+5))1182ππ1800−10−1未定義未定義10

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投稿日：2024年3月1日
更新日：2024年3月1日
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