wiedzac ze β∊(3π2,2π), α∊(π,3π2) oraz sinβ=−25, cosα=−13 oblicz sin(α−β)
| 1 | 8 | |||
sin2α = 1−cos2α = 1− | = | |||
| 9 | 9 |
| 2√2 | ||
sinα = | ||
| 3 |
| 4 | 21 | |||
cos2β = 1−sin2β = 1− | = | |||
| 25 | 25 |
| √21 | ||
cosβ = | ||
| 5 |
| 2√2 | √21 | 1 | 2 | |||||
sin(α−β) = | * | − (− | )*(− | ) = ... dokończ | ||||
| 3 | 5 | 3 | 5 |
| 2√2 | ||
czyli: sinα = − | ||
| 3 |