| π | 3π | 5π | ||||
tg2 | +tg2 | +tg2 | ||||
| 12 | 12 | 12 |
| π | ||
tg | = tg15o (to zam teraz = 2−p[3} | |
| 12 |
| 3π | ||
tg | = tg45o=1 | |
| 12 |
| 5π | ||
tg | = tg75o) = tg(45o+30o) | |
| 12 |
| tg45o+tg30o | ||
tg(45o+30o)= | = | |
| 1−tg45o*tg30o |
| 3+√3 | ||
licznik = | ||
| 3 |
| 3−√3 | ||
mianownik = | ||
| 3 |
| 3+√3 | ||
tg75= | = 2+√3 | |
| 3−√3 |
| sin15 | sin75 | |||
( | + | )2−2*1+1= | ||
| cos15 | cos75 |
| cos75 | sin75 | |||
=( | + | )2−1= | ||
| sin75 | cos75 |
| cos275+sin275 | ||
=( | )2−1= | |
| sin75*cos75 |
| 1 | ||
=( | )2−1=16−1=15 | |
| 0.5*sin150 |
