Zadanie 1.

α rad = 1, 273168 + 0, 01 • 10 • 3 = 1, 273168 + 0, 03 = 1, 573168

2π rad − 360 ∖ n1, 573168 rad −  β

360 − 400^g ∖ n90, 13596 − γ

$$\beta = \ \frac{1,573168 \bullet 360}{2 \bullet 3,14159} \approx 90,13596\left\lbrack \right\rbrack$$

$$\gamma = \frac{90,13596 \bullet 400}{360} \approx {100,15107\lbrack}^{g}\rbrack \approx {100,1511\lbrack}^{g}\rbrack$$

Zadanie 2.

α rad = 0, 068915 + 0, 03 • 10 • 3 = 0, 068915 + 0, 9 = 0, 968915

2π rad − 400^g ∖ n0, 968915 rad −  β

400^g − 360 ∖ n61, 6831^g − γ

$$\beta = \ \frac{0,968915 \bullet 400}{2 \bullet 3,14159} \approx {61,6831\lbrack}^{g}\rbrack$$

$$\gamma = \frac{61,6831 \bullet 360}{400} \approx 55,51479\lbrack\rbrack$$

Zadanie 3.

$$\text{α\ }\mathrm{} = 90 + \left( \frac{10}{60} \bullet 3 \right) + 0,7:3600 = 90 + 0,5 + 0,00019(4) \approx 90,500194$$

360 − 2π rad ∖ n90, 500194 −  β

2π rad − 400^g ∖ n1, 57952 rad − γ

$$\beta = \ \frac{90,500194 \bullet 2 \bullet 3,14159}{360} \approx 1,57952\lbrack\mathrm{\text{rad}}\rbrack$$

$$\gamma = \frac{1,57952 \bullet 400}{2 \bullet 3,14159} \approx {100,55545\lbrack}^{g}\rbrack \approx {100,5554\lbrack}^{g}\rbrack$$

Zadanie 4.

α^g  = 614, 56013 − 2, 564998 • 10 • 3 = 614, 56013 − 76, 94994 = 537, 61019 ≈ 537, 6102

400^g − 2π rad ∖ n537, 61019^g −  β

2π rad − 360 ∖ n8, 44475 rad − γ

$$\beta = \ \frac{537,61019 \bullet 2 \bullet 3,14159}{400} \approx 8,44475\lbrack\mathrm{\text{rad}}\rbrack$$

$$\gamma = \frac{8,44475 \bullet 360}{2 \bullet 3,14159} \approx 483,84894\lbrack\rbrack$$

$$90,13596 = \left| \frac{0,13596 \bullet 60 = 8,1576}{0,1576 \bullet 60 = 9,456} \right| \approx 9008'09''$$

$$55,51479 = \left| \frac{0,51479 \bullet 60 = 30,8874}{0,8874 \bullet 60 = 53,244} \right| \approx 5530'53''$$

$$90,500194 = \left| \frac{0,500194 \bullet 60 = 30,01164}{0,01164 \bullet 60 = 0,6984} \right| \approx 9030'01''$$

$$483,84894 = \left| \frac{0,84894 \bullet 60 = 50,9364}{0,9364 \bullet 60 = 56,184} \right| \approx 48350'56''$$

ZADANIE	Stopnie	Grady	Radiany
1.	9008′09″	100^g15^c11^cc	1,573168
2.	5530′53″	61^g68^c31^cc	0,968915
3.	9030′01″	100^g55^c54^cc	1,57952
4.	48350′56″	537^g61^c02^cc	8,44475
SUMA	71959’59’’	799^g99^c98^cc	12,566353

$$\backslash n{\frac{12,566353}{3,14159} \approx 3,999998\pi \approx 4\pi}$$