Wykaż że L=P
Raqur: Wykaż że: (ctg2α*cosα+sinα)(1+cosα) = (1/2)*ctg(α/2)
14 mar 18:55
M:
23 mar 17:27
aQa:
| | cos2α | | 1−2sin2α | | α | |
L= ( |
| *cosα +sinα)(1+cosα)= |
| +sinα)*(2cos2 |
| )= |
| | sin2α | | 2sinα | | 2 | |
| | 1 | | α | | | | 1 | | α | |
= |
| *2cos2 |
| = |
| = |
| ctg |
| =P |
| | 2sinα | | 2 | | | | 2 | | 2 | |
korzystamy ze wzorów:
sin2α= 2sinα cosα
cos2α=1−2sin
2α
23 mar 19:55