Matematik Opgave 1606 1607 1609 1614


Opg 1606

A
LaTex: \angle_A = tan^{-1}{\frac{1}{3}}=18,4^{\circ}
B
LaTex: \angle_B = tan^{-1}{\frac{-5}{2}}=-68,2^{\circ}
C
LaTex: \angle_C = tan^{-1}{\frac{-3}{5}}=-30,96^{\circ}

Opg 1607

V
LaTex: \angle_A = tan^{-1}{\frac{-3}{-2}}=56,31^{\circ}
LaTex: |\vec{A}| = \sqrt{-2^2+-3^2} = 3,6
LaTex: \vec A = {3,6\cdot\cos{56,31^{\circ}}\choose$3,6\cdot\sin{56,31^{\circ}}}
W
LaTex: \angle_B = tan^{-1}{\frac{7}{10}}=34,99^{\circ}
LaTex: L_B = \sqrt{7^2+-10^2} =12,3
LaTex: \vec B = {12,3\cdot\cos{34,99^{\circ}}\choose$12,3\cdot\sin{34,99^{\circ}}}

Opg 1609

A
LaTex: \vec A = {2\cdot\cos{37^{\circ}} \choose 2\cdot\sin{37^{\circ}}} = {1,597 \choose 1,204}
B
LaTex: \vec B = {4\cdot\cos{229^{\circ}} \choose 4\cdot\sin{229^{\circ}}} = {-2,624 \choose -3,019}
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