Van graden naar radialen

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

1. \(66 ^\circ\)
2. \(25 ^\circ\)
3. \(48 ^\circ\)
4. \(174 ^\circ\)
5. \(12 ^\circ 40'\)
6. \(29 ^\circ 30'\)
7. \(10 ^\circ 20'\)
8. \(21 ^\circ 30'\)
9. \(14 ^\circ 40'\)
10. \(51 ^\circ\)
11. \(71 ^\circ\)
12. \(122 ^\circ\)

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

Verbetersleutel

1. \(66 ^\circ= 66^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{11 \pi}{30} \text{rad}\)
2. \(25 ^\circ= 25^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{5 \pi}{36} \text{rad}\)
3. \(48 ^\circ= 48^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{4 \pi}{15} \text{rad}\)
4. \(174 ^\circ= 174^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{29 \pi}{30} \text{rad}\)
5. \(12 ^\circ 40'= \left( 12 + \frac{2}{3} \right)^\circ= \frac{38}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{19 \pi}{270} \text{rad}\)
6. \(29 ^\circ 30'= \left( 29 + \frac{1}{2} \right)^\circ= \frac{59}2^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{59 \pi}{360} \text{rad}\)
7. \(10 ^\circ 20'= \left( 10 + \frac{1}{3} \right)^\circ= \frac{31}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{31 \pi}{540} \text{rad}\)
8. \(21 ^\circ 30'= \left( 21 + \frac{1}{2} \right)^\circ= \frac{43}2^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{43 \pi}{360} \text{rad}\)
9. \(14 ^\circ 40'= \left( 14 + \frac{2}{3} \right)^\circ= \frac{44}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{11 \pi}{135} \text{rad}\)
10. \(51 ^\circ= 51^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{17 \pi}{60} \text{rad}\)
11. \(71 ^\circ= 71^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{71 \pi}{180} \text{rad}\)
12. \(122 ^\circ= 122^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{61 \pi}{90} \text{rad}\)