| x−y | 4−a2−b2 | |||
Niech sinx+siny=a oraz cosx+cosy=b, Wykaż że tg | =±( | )1/2. | ||
| 2 | a2+b2 |
| x−y | 2−2cos(x−y) | |||
tg2 | = | |||
| 2 | 2+2cos(x−y) |
| 2−2cos(x−y) | |
= | |
| 2+2cos(x−y) |
| 2−2(1−2sin2((x−y)/2)) | ||
= | = | |
| 2+2(2cos2((x−y)/2)−1) |
| 4sin2((x−y)/2) | ||
= | =tg2((x−y)/2) | |
| 4cos2((x−y)/2) |
| 5^2 | 52 |
| 2^{10} | 210 |
| a_2 | a2 |
| a_{25} | a25 |
| p{2} | √2 |
| p{81} | √81 |
| Kliknij po więcej przykładów | |
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