Van graden naar radialen

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Geef een exacte uitkomst (laat π staan). Zonder ZRM!

1. \(27 ^\circ 30'\)
2. \(172 ^\circ\)
3. \(23 ^\circ 40'\)
4. \(162 ^\circ\)
5. \(18 ^\circ 20'\)
6. \(19 ^\circ 20'\)
7. \(102 ^\circ\)
8. \(41 ^\circ\)
9. \(59 ^\circ\)
10. \(8 ^\circ 40'\)
11. \(13 ^\circ\)
12. \(114 ^\circ\)

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Geef een exacte uitkomst (laat π staan). Zonder ZRM!

Verbetersleutel

1. \(27 ^\circ 30'= \left( 27 + \frac{1}{2} \right)^\circ= \frac{55}2^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{11 \pi}{72} \text{rad}\)
2. \(172 ^\circ= 172^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{43 \pi}{45} \text{rad}\)
3. \(23 ^\circ 40'= \left( 23 + \frac{2}{3} \right)^\circ= \frac{71}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{71 \pi}{540} \text{rad}\)
4. \(162 ^\circ= 162^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{9 \pi}{10} \text{rad}\)
5. \(18 ^\circ 20'= \left( 18 + \frac{1}{3} \right)^\circ= \frac{55}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{11 \pi}{108} \text{rad}\)
6. \(19 ^\circ 20'= \left( 19 + \frac{1}{3} \right)^\circ= \frac{58}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{29 \pi}{270} \text{rad}\)
7. \(102 ^\circ= 102^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{17 \pi}{30} \text{rad}\)
8. \(41 ^\circ= 41^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{41 \pi}{180} \text{rad}\)
9. \(59 ^\circ= 59^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{59 \pi}{180} \text{rad}\)
10. \(8 ^\circ 40'= \left( 8 + \frac{2}{3} \right)^\circ= \frac{26}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{13 \pi}{270} \text{rad}\)
11. \(13 ^\circ= 13^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{13 \pi}{180} \text{rad}\)
12. \(114 ^\circ= 114^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{19 \pi}{30} \text{rad}\)