| 1 | ||
Wiedząc, że sinx + cosx = | oblicz: | |
| √2 |
| 1 | ||
sinx + cosx = | /2 | |
| √2 |
| 1 | ||
sin2x + 2sinxcosx + cos2x = | ||
| 2 |
| 1 | ||
2sinxcosx = − | ||
| 2 |
| 1 | ||
sinxcosx = − | ||
| 4 |
| 1 | ||
sin2x + 2sinxcosx + cos2x = | ||
| 2 |
| 1 | ||
sin2x − 2sinxcosx + cos2x = | − 4sinxcosx | |
| 2 |
| 3 | ||
(sinx − cosx)2 = | ||
| 2 |
| √6 | ||
|sinx − cosx| = | ||
| 2 |