12. Berechne die Winkeldes Dreiecks mit den Ecken $$ \mathrm{A}(2 / 1 /-3), \mathrm{B}(-3 / 0 / 1) $$ und $$ \mathrm{C}(7 /-1 /-1) $$.

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Calculate or simplify the expression $$ \sin(45) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\sin\left(45ight)$$
Calculate or simplify the expression $$ \cos(\pi/4) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\cos\left(\frac{\pi }{4}ight)$$
- step1: Calculate the trigonometric value:
  $$\frac{\sqrt{2}}{2}$$
Calculate or simplify the expression $$ \sin(45)/\cos(\pi/4) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{\sin\left(45ight)}{\cos\left(\frac{\pi }{4}ight)}$$
- step1: Transform the expression:
  $$\frac{2\sin\left(45ight)}{\sqrt{2}}$$
- step2: Multiply by the Conjugate:
  $$\frac{2\sin\left(45ight)	imes \sqrt{2}}{\sqrt{2}	imes \sqrt{2}}$$
- step3: Multiply the numbers:
  $$\frac{2\sqrt{2}	imes \sin\left(45ight)}{\sqrt{2}	imes \sqrt{2}}$$
- step4: Multiply the numbers:
  $$\frac{2\sqrt{2}	imes \sin\left(45ight)}{2}$$
- step5: Reduce the fraction:
  $$\sqrt{2}	imes \sin\left(45ight)$$
The value of $$ \frac{\sin(45^{\circ})}{\cos(\frac{\pi}{4})} $$ is $$ \sqrt{2} $$.
$$ \sqrt{2} $$.

Berechne die Winkeldes Dreiecks mit den Ecken und .

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