Van graden naar radialen

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

1. \(26 ^\circ\)
2. \(1 ^\circ 40'\)
3. \(30 ^\circ 40'\)
4. \(5 ^\circ\)
5. \(24 ^\circ 30'\)
6. \(28 ^\circ 30'\)
7. \(44 ^\circ\)
8. \(34 ^\circ\)
9. \(16 ^\circ 30'\)
10. \(37 ^\circ\)
11. \(20 ^\circ 40'\)
12. \(30 ^\circ 20'\)

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

Verbetersleutel

1. \(26 ^\circ= 26^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{13 \pi}{90} \text{rad}\)
2. \(1 ^\circ 40'= \left( 1 + \frac{2}{3} \right)^\circ= \frac{5}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{ \pi }{108} \text{rad}\)
3. \(30 ^\circ 40'= \left( 30 + \frac{2}{3} \right)^\circ= \frac{92}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{23 \pi}{135} \text{rad}\)
4. \(5 ^\circ= 5^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{ \pi }{36} \text{rad}\)
5. \(24 ^\circ 30'= \left( 24 + \frac{1}{2} \right)^\circ= \frac{49}2^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{49 \pi}{360} \text{rad}\)
6. \(28 ^\circ 30'= \left( 28 + \frac{1}{2} \right)^\circ= \frac{57}2^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{19 \pi}{120} \text{rad}\)
7. \(44 ^\circ= 44^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{11 \pi}{45} \text{rad}\)
8. \(34 ^\circ= 34^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{17 \pi}{90} \text{rad}\)
9. \(16 ^\circ 30'= \left( 16 + \frac{1}{2} \right)^\circ= \frac{33}2^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{11 \pi}{120} \text{rad}\)
10. \(37 ^\circ= 37^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{37 \pi}{180} \text{rad}\)
11. \(20 ^\circ 40'= \left( 20 + \frac{2}{3} \right)^\circ= \frac{62}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{31 \pi}{270} \text{rad}\)
12. \(30 ^\circ 20'= \left( 30 + \frac{1}{3} \right)^\circ= \frac{91}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{91 \pi}{540} \text{rad}\)