Van graden naar radialen

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

1. \(117 ^\circ\)
2. \(5 ^\circ 30'\)
3. \(18 ^\circ 20'\)
4. \(137 ^\circ\)
5. \(3 ^\circ\)
6. \(8 ^\circ 40'\)
7. \(146 ^\circ\)
8. \(134 ^\circ\)
9. \(152 ^\circ\)
10. \(6 ^\circ 30'\)
11. \(30 ^\circ 30'\)
12. \(138 ^\circ\)

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

Verbetersleutel

1. \(117 ^\circ= 117^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{13 \pi}{20} \text{rad}\)
2. \(5 ^\circ 30'= \left( 5 + \frac{1}{2} \right)^\circ= \frac{11}2^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{11 \pi}{360} \text{rad}\)
3. \(18 ^\circ 20'= \left( 18 + \frac{1}{3} \right)^\circ= \frac{55}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{11 \pi}{108} \text{rad}\)
4. \(137 ^\circ= 137^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{137 \pi}{180} \text{rad}\)
5. \(3 ^\circ= 3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{ \pi }{60} \text{rad}\)
6. \(8 ^\circ 40'= \left( 8 + \frac{2}{3} \right)^\circ= \frac{26}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{13 \pi}{270} \text{rad}\)
7. \(146 ^\circ= 146^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{73 \pi}{90} \text{rad}\)
8. \(134 ^\circ= 134^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{67 \pi}{90} \text{rad}\)
9. \(152 ^\circ= 152^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{38 \pi}{45} \text{rad}\)
10. \(6 ^\circ 30'= \left( 6 + \frac{1}{2} \right)^\circ= \frac{13}2^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{13 \pi}{360} \text{rad}\)
11. \(30 ^\circ 30'= \left( 30 + \frac{1}{2} \right)^\circ= \frac{61}2^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{61 \pi}{360} \text{rad}\)
12. \(138 ^\circ= 138^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{23 \pi}{30} \text{rad}\)