Тригонометрия формулалары

Негізгі тригонометриялық тепе-теңдік

• $\sin^2\alpha+\cos^2\alpha=1$

• $\cos^2\alpha-\sin^2\alpha=1$

• $\sin^2\alpha=\frac{1-\cos2\alpha}{2}$

• $\cos^2\alpha=\frac{1+\cos2\alpha}{2}$

 $tg\alpha=?$  

•  $\frac{\cos\alpha}{\sin\alpha}$  

•  $tg\alpha\cdot\operatorname{ctg}\alpha$  

•  $\frac{\sin\alpha}{\cos\alpha}$  

•  $\frac{1}{\cos^2\alpha}$  

 $\operatorname{ctg}\alpha=?$  

•  $\frac{\cos\alpha}{\sin\alpha}$  

•  $tg\alpha\cdot\operatorname{ctg}\alpha$  

•  $\frac{\sin\alpha}{\cos\alpha}$  

•  $\frac{1}{\cos^2\alpha}$  

 $1+tg^2\alpha=?$  

•  $\frac{\cos\alpha}{\sin\alpha}$  

•  $\frac{1}{\sin^2\alpha}$  

•  $\frac{\sin\alpha}{\cos\alpha}$  

•  $\frac{1}{\cos^2\alpha}$  

Дұрыс қосу формулаларын таңдаңыз

• $\sin\left(\alpha+\beta\right)=\sin\alpha\cos\beta+\cos\alpha\sin\beta$

• $\sin\left(\alpha-\beta\right)=\sin\alpha\cos\beta-\cos\alpha\sin\beta$

• $\sin\left(\alpha+\beta\right)=\sin\alpha\sin\beta+\cos\alpha\cos\beta$

• $\sin\left(\alpha-\beta\right)=\cos\alpha\sin\beta-\sin\alpha\cos\beta$

Дұрыс қосу формулаларын таңдаңыз

• $\cos\left(\alpha+\beta\right)=\sin\alpha\cos\beta-\cos\alpha\sin\beta$

• $\cos\left(\alpha-\beta\right)=\cos\alpha\cos\beta+\sin\alpha\sin\beta$

• $\cos\left(\alpha+\beta\right)=\sin\alpha\sin\beta-\cos\alpha\cos\beta$

• $\cos\left(\alpha+\beta\right)=\cos\alpha\cos\beta-\sin\alpha\sin\beta$

 $tg\left(\alpha+\beta\right)=?$  

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

•  $\frac{\operatorname{ctg}\alpha\cdot\operatorname{ctg}\beta-1}{\operatorname{ctg}\alpha+\operatorname{ctg}\beta}$  
  

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

•  $\frac{\operatorname{ctg}\alpha\cdot\operatorname{ctg}\beta+1}{\operatorname{ctg}\beta-\operatorname{ctg}\alpha}$  
  

 $tg\left(\alpha-\beta\right)=?$  

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

•  $\frac{\operatorname{ctg}\alpha\cdot\operatorname{ctg}\beta-1}{\operatorname{ctg}\alpha+\operatorname{ctg}\beta}$  
  

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

•  $\frac{\operatorname{ctg}\alpha\cdot\operatorname{ctg}\beta+1}{\operatorname{ctg}\beta-\operatorname{ctg}\alpha}$  
  

 $\operatorname{ctg}\left(\alpha-\beta\right)=?$  

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

•  $\frac{\operatorname{ctg}\alpha\cdot\operatorname{ctg}\beta-1}{\operatorname{ctg}\alpha+\operatorname{ctg}\beta}$  
  

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

•  $\frac{\operatorname{ctg}\alpha\cdot\operatorname{ctg}\beta+1}{\operatorname{ctg}\beta-\operatorname{ctg}\alpha}$  
  

 $\operatorname{ctg}\left(\alpha+\beta\right)=?$  

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

•  $\frac{\operatorname{ctg}\alpha\cdot\operatorname{ctg}\beta-1}{\operatorname{ctg}\alpha+\operatorname{ctg}\beta}$  
  

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

•  $\frac{\operatorname{ctg}\alpha\cdot\operatorname{ctg}\beta+1}{\operatorname{ctg}\beta-\operatorname{ctg}\alpha}$