R´ eponses du devoir surveill´ e de math´ ematiques n
◦5 - Sujet Droit
1. 2π
3 −5π
7 −π
3
2π 9 2.
S = (cosx) + (−sinx) + (−cosx) + (sinx) = 0 3.
S=]7π 4 ;7π
3 [ 4.
A(2;−2√
3) B(2;−π
3) 5.
(−AB,−→ −AD) = (−→ −AB,−→ −DC) + (−→ −DC,−→ −AD) [2π] = (−→ −DC,−→ −AD) [2π]−→ car (−AB,−→ −DC) = 0 [2π]−→ (−AB,−→ −AD) = (−→ −DC,−→ −AD) [2π] = (−→ −DC,−→ −DA) +−→ π [2π] =−(−DA,−→ −DC) +−→ π [2π]
R´ eponses du devoir surveill´ e de math´ ematiques n
◦5 - Sujet Gauche
1.
−2π 3
5π 7
π
3 −2π
9 2.
S = (−sinx) + (−cosx) + (sinx) + (cosx) = 0 3.
S=]7π 4 ;9π
4 [ 4.
A(−2; 2√
3) B(2;2π
3 ) 5.
(−AB,−→ −AD) = (−→ −AB,−→ −DC) + (−→ −DC,−→ −AD) [2π] = (−→ −DC,−→ −AD) [2π]−→ car (−AB,−→ −DC) = 0 [2π]−→ (−AB,−→ −AD) = (−→ −DC,−→ −AD) [2π] = (−→ −DC,−→ −DA) +−→ π [2π] =−(−DA,−→ −DC) +−→ π [2π]