積化合差公式表

積化和差公式主要包括以下幾種形式：

sin⁡α⋅cos⁡β=12[sin⁡(α+β)+sin⁡(α−β)]\sin \alpha \cdot \cos \beta = \frac{1}{2} [\sin(\alpha + \beta) + \sin(\alpha - \beta)]sinα⋅cosβ=21​[sin(α+β)+sin(α−β)]

cos⁡α⋅sin⁡β=12[sin⁡(α+β)−sin⁡(α−β)]\cos \alpha \cdot \sin \beta = \frac{1}{2} [\sin(\alpha + \beta) - \sin(\alpha - \beta)]cosα⋅sinβ=21​[sin(α+β)−sin(α−β)]

cos⁡α⋅cos⁡β=12[cos⁡(α+β)+cos⁡(α−β)]\cos \alpha \cdot \cos \beta = \frac{1}{2} [\cos(\alpha + \beta) + \cos(\alpha - \beta)]cosα⋅cosβ=21​[cos(α+β)+cos(α−β)]

sin⁡α⋅sin⁡β=−12[cos⁡(α+β)−cos⁡(α−β)]\sin \alpha \cdot \sin \beta = -\frac{1}{2} [\cos(\alpha + \beta) - \cos(\alpha - \beta)]sinα⋅sinβ=−21​[cos(α+β)−cos(α−β)]