Valeurs trigonométriques exactes

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Angle en radian Angle en degré Cosinus Sinus Tangente
0 0° 1 0 0
π60 3° 2(3+1)5+5+2(3−1)(5−1)16 2(3+1)(5−1)−2(3−1)5+516 ((2−3)(3+5)−2)(2−25−5)4
π32 5,625° 2+2+2+22 2−2+2+22 4+22(2+2+2−1)−2−1
π30 6° 10−25+3+158 30−65−5−18 25−5−3(5−1)2
π24 7,5° 4+2+68 4−2−68 6−3+2−2
π20 9° 2(5+1)+25−58 2(5+1)−25−58 5+1−5+25
π16 11,25° 2+2+22 2−2+22 4+22−2−1
π15 12° 65+5+5−18 25+5−3(5−1)8 3(3−5)−225−1152
π12 15° 6+24 6−24 2−3
3π32 16,875° 2+2+2−22 2−2+2−22 4−22(2+2−2−1)−2+1
π10 18° 25+54 5−14 55−255
7π60 21° 2(3−1)5−5+2(3+1)(5+1)16 2(3+1)5−5−2(3−1)(5+1)16 (2−(2+3)(3−5))(2−25+5)4
π8 22,5° 2+22 2−22 2−1
2π15 24° 5+1+65−58 3(5+1)−25−58 225+115−3(3+5)2
3π20 27° 25+5+2(5−1)8 25+5−2(5−1)8 5−1−5−25
5π32 28,125° 2+2−2−22 2−2−2−22 4−22(2−2−2−1)+2−1
π6 30° 32 12 33
11π60 33° 2(3+1)5+5−2(3−1)(5−1)16 2(3−1)5+5+2(3+1)(5−1)16 (2−(2−3)(3+5))(2+25−5)4
3π16 33,75° 2+2−22 2−2−22 4−22−2+1
π5 36° 5+14 25−54 5−25
5π24 37,5° 4−2+68 4+2−68 6+3−2−2
7π30 39° 2(3−1)(5+1)+2(3+1)5−516 2(3+1)(5+1)−2(3−1)5−516 ((2−3)(3−5)−2)(2−25+5)4
7π32 39,375° 2+2−2+22 2−2−2+22 4+22(2−2+2−1)+2+1
7π30 42° 25+5+3(5−1)8 65+5−(5−1)8 3(5+1)−25+52
π4 45° 22 22 1
4π15 48° 65+5−(5−1)8 25+5+3(5−1)8 ((2+3)(3+5)−2)(2+25−5)4
9π32 50,625° 2−2−2+22 2+2−2+22 4+22(2−2+2+1)−2−1
17π60 51° 2(3+1)(5+1)−2(3−1)5−516 2(3−1)(5+1)+2(3+1)5−516 ((2+3)(3−5)−2)(2+25+5)4
7π24 52,5° 4+2−68 4−2+68 6−3−2+2
3π10 54° 25−54 5+14 55+255
5π16 56,25° 2−2−22 2+2−22 4−22+2−1
19π60 57° 2(3−1)5+5+2(3+1)(5−1)16 2(3+1)5+5−2(3−1)(5−1)16 (2−(2+3)(3+5))(2−25−5)4
π3 60° 12 32 3
11π32 61,875° 2−2−2−22 2+2−2−22 4−22(2−2−2+1)−2+1
7π20 63° 25+5−2(5−1)8 25+5+2(5−1)8 5−1+5−25
11π30 66° 3(5+1)−25−58 5+1+65−58 3(5−1)+25−52
3π8 67,5° 2−22 2+22 2+1
23π60 69° 2(3+1)5−5−2(3−1)(5+1)16 2(3−1)5−5+2(3+1)(5+1)16 (2−(2−3)(3−5))(2+25+5)4
2π5 72° 5−14 25+54 5+25
13π32 73,175° 2−2+2−22 2+2+2−22 4−22(2+2−2+1)+2−1
5π12 75° 6−24 6+24 2+3
13π30 78° 25+5−3(5−1)8 65+5+5−18 3(5+1)+25+52
7π16 78,75° 2−2+22 2+2+22 4+22+2+1
9π20 81° 2(5+1)−25−58 2(5+1)+25−58 5+1+5+25
11π24 82,5° 4−2−68 4+2+68 6+3+2+2
7π15 84° 30−65−5−18 10−25+3+158 33+15+50+2252
15π32 84,375° 2−2+2+22 2+2+2+22 4+22(2+2+2+1)+2+1
29π60 87° 2(3+1)(5−1)−2(3−1)5+516 2(3+1)5+5+2(3−1)(5−1)16 ((2+3)(3+5)−2)(2+25−5)4
π2 90° 0 1 non définie
Récupérée de "https://fr.wikiversity.beta.math.wmflabs.org/w/index.php?title=Valeurs_trigonométriques_exactes&oldid=2284"