Datrys sin^2(x)+2cos^2(x)/sin(x)cos(x)=tan(x)+2c

$$\frac { \sin ^ { 2 } ( x ) + 2 \cos ^ { 2 } ( x ) } { \sin ( x ) \cos ( x ) } = \tan ( x ) + 2 c$$

Datrys ar gyfer c (complex solution)

$$c=\frac{\cos(2x)+1}{\sin(2x)}$$

$$\nexists n_{1}\in \mathrm{Z}\text{ : }x=\frac{\pi n_{1}}{2}$$

Camau ar gyfer Datrys Hafaliad Llinol

Cyfnewidiwch yr ochrau fel bod yr holl dermau newidiol ar yr ochr chwith.

$$\tan(x)+2c=\frac{\left(\sin(x)\right)^{2}+2\left(\cos(x)\right)^{2}}{\sin(x)\cos(x)}$$

Tynnu \tan(x) o'r ddwy ochr.

$$2c=\frac{\left(\sin(x)\right)^{2}+2\left(\cos(x)\right)^{2}}{\sin(x)\cos(x)}-\tan(x)$$

Mae'r hafaliad yn y ffurf safonol.

$$2c=\frac{2\left(\cos(x)\right)^{2}+\left(\sin(x)\right)^{2}}{\frac{1}{2}\sin(2x)}-\tan(x)$$

Rhannu’r ddwy ochr â 2.

$$\frac{2c}{2}=\frac{2\cot(x)}{2}$$

Mae rhannu â 2 yn dad-wneud lluosi â 2.

$$c=\frac{2\cot(x)}{2}$$

Rhannwch 2\cot(x) â 2.

$$c=\cot(x)$$

Datrys ar gyfer c

$$c=\cot(x)$$

$$\exists n_{1}\in \mathrm{Z}\text{ : }\left(x>\frac{\pi n_{1}}{2}\text{ and }x<\frac{\pi n_{1}}{2}+\frac{\pi }{2}\right)$$

Camau ar gyfer Datrys Hafaliad Llinol

Cyfnewidiwch yr ochrau fel bod yr holl dermau newidiol ar yr ochr chwith.

$$\tan(x)+2c=\frac{\left(\sin(x)\right)^{2}+2\left(\cos(x)\right)^{2}}{\sin(x)\cos(x)}$$

Tynnu \tan(x) o'r ddwy ochr.

$$2c=\frac{\left(\sin(x)\right)^{2}+2\left(\cos(x)\right)^{2}}{\sin(x)\cos(x)}-\tan(x)$$

Mae'r hafaliad yn y ffurf safonol.

$$2c=\frac{2\left(\cos(x)\right)^{2}+\left(\sin(x)\right)^{2}}{\frac{1}{2}\sin(2x)}-\tan(x)$$

Rhannu’r ddwy ochr â 2.

$$\frac{2c}{2}=\frac{2\cot(x)}{2}$$

Mae rhannu â 2 yn dad-wneud lluosi â 2.

$$c=\frac{2\cot(x)}{2}$$

Rhannwch 2\cot(x) â 2.

$$c=\cot(x)$$