Van graden naar radialen

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

1. \(93 ^\circ\)
2. \(65 ^\circ\)
3. \(5 ^\circ 40'\)
4. \(77 ^\circ\)
5. \(26 ^\circ 30'\)
6. \(25 ^\circ 40'\)
7. \(17 ^\circ\)
8. \(112 ^\circ\)
9. \(18 ^\circ 20'\)
10. \(27 ^\circ 30'\)
11. \(21 ^\circ\)
12. \(3 ^\circ 30'\)

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

Verbetersleutel

1. \(93 ^\circ= 93^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{31 \pi}{60} \text{rad}\)
2. \(65 ^\circ= 65^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{13 \pi}{36} \text{rad}\)
3. \(5 ^\circ 40'= \left( 5 + \frac{2}{3} \right)^\circ= \frac{17}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{17 \pi}{540} \text{rad}\)
4. \(77 ^\circ= 77^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{77 \pi}{180} \text{rad}\)
5. \(26 ^\circ 30'= \left( 26 + \frac{1}{2} \right)^\circ= \frac{53}2^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{53 \pi}{360} \text{rad}\)
6. \(25 ^\circ 40'= \left( 25 + \frac{2}{3} \right)^\circ= \frac{77}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{77 \pi}{540} \text{rad}\)
7. \(17 ^\circ= 17^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{17 \pi}{180} \text{rad}\)
8. \(112 ^\circ= 112^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{28 \pi}{45} \text{rad}\)
9. \(18 ^\circ 20'= \left( 18 + \frac{1}{3} \right)^\circ= \frac{55}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{11 \pi}{108} \text{rad}\)
10. \(27 ^\circ 30'= \left( 27 + \frac{1}{2} \right)^\circ= \frac{55}2^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{11 \pi}{72} \text{rad}\)
11. \(21 ^\circ= 21^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{7 \pi}{60} \text{rad}\)
12. \(3 ^\circ 30'= \left( 3 + \frac{1}{2} \right)^\circ= \frac{7}2^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{7 \pi}{360} \text{rad}\)