Формулы сложения

sin(α+β)=

• sinαcosβ+sinβcosα

• sinαsinβ+cosβcosα

• cosαcosβ−sinβsinα

• sinαcosβ−sinβcosα

sin(α−β)=

• sinαcosβ+sinβcosα

• sinαcosβ−sinβcosα

• sinαsinβ−cosβcosα

• cosαcosβ+sinβsinα

cos(α−β)=

• sinαcosβ+sinβcosα

• cosαcosβ+sinβsinα

• sinαsinβ−cosβcosα

• cosαcosβ−sinβsinα

cos(α+β)=

• sinαcosβ+sinβcosα

• cosαcosβ−sinβsinα

• sinαsinβ+cosβcosα

• cosαcosβ+sinβsinα

tg(α+β)=

• $\frac{tg\alpha+tg\beta}{1-tg\alpha tg\beta}$

• $\frac{tg\alpha-tg\beta}{1+tg\alpha tg\beta}$

• $\frac{1+tg\alpha tg\beta}{tg\alpha-tg\beta}$

• $\frac{tg\alpha+tg\beta}{1+tg\alpha tg\beta}$

tg(α−β)=

• $\frac{tg\alpha-tg\beta}{1-tg\alpha tg\beta}$

• $\frac{tg\alpha-tg\beta}{1+tg\alpha tg\beta}$

• $\frac{1+tg\alpha tg\beta}{tg\alpha-tg\beta}$

• $\frac{tg\alpha+tg\beta}{1+tg\alpha tg\beta}$

sin14°cos31°+cos14°sin31°=

• $\frac{\sqrt{2}}{2}$

• $\sin\left(-17^{\degree}\right)$

• $\frac{1}{2}$

• $\cos17\degree$

cos46°cos44°−sin46°sin44°=

• 0

• cos2°

• 1

• sin2°

 $\frac{tg78\degree-tg33\degree}{1+tg78\degree tg33\degree}$  

• 1

•  $tg\left(-111\degree\right)$  

•  $\sqrt{3}$  

•  $tg111\degree$  

sin16°cos29°−cos16°sin29°=

• $\frac{\sqrt{2}}{2}$

• $\sin\left(-13\degree\right)$

• $\frac{\sqrt{3}}{2}$

• $\cos13\degree$