Trigonometrica fundamentala

Trigonometrica omogena

Trigonometrica reductibila la ecuatii algebrica

Nu este ecuatie trigonometrica

 $\left\{4k\pi,k\in Z\right\}$  

 $\left\{\operatorname{arcctg}4\ +k\pi,k\in Z\right\}$  

 $\left\{ar\operatorname{ctg}4\ +k\pi,k\in Z\right\}$  

Nu are solutii

 $\left\{\frac{\pi}{4}+k\pi,k\in Z\right\}$  

 $\left\{\left(-1\right)^k\ \frac{\pi}{8}+\frac{3}{2}+\frac{k\pi}{2},k\in Z\right\}$  

 $\left\{\left(-1\right)^k\ \frac{\pi}{3}+\frac{k\pi}{2},k\in Z\right\}$  

N-are solutii

 $\left\{\pm k\pi,k\in Z\right\}$  

 $\left\{\pi+2k\pi,k\in Z\right\}$  

 $\left\{\left(-1\right)^k\pi+k\pi,k\in Z\right\}$  

 $\left\{\pm2k\pi,k\in Z\right\}$  

Trigonometrica fundamentala

Trigonometrica omogena

Trifonometrica reductibila la ecuatii algebrice

Nu este ecuatie trigonometrica

 $\left\{\pm k\pi,k\in Z\right\}$  

 $\left\{\pm\frac{\pi}{3}+2k\pi,k\in Z\right\}\cup\left\{n\pi,n\in Z\right\}$  

 $\left\{\frac{\pi}{2}+2k\pi,k\in Z\right\}\cup\left\{\frac{\pi}{3}+n\pi,n\in Z\right\}$  

N-are solutii