# Tareas variadas

## Tareas trigonometría

• $$\displaystyle \sin(x) + \cos(x) = \frac15$$
• $$4 + 2 \sin(2x) = 5$$
• $$\displaystyle \sqrt{3}\sin(\frac{x}{2})+\cos(x)-1=0$$
• $$\tan (2x) \tan (x) = 1$$
• $$2 \cos^3(x) - 3 \cos^2(x) + \cos( x) = 0$$
• $$cos(2x)=5-6cos^2(x)$$
• $$\cos^2(x)=\cos(x)$$
• $$\displaystyle \frac{\sin(2x)}{\cos(x)}+\cos^2(x) = \frac{7}{4}$$
• $$\cos(x)\sin(2x)-\sin(x)=0$$
• $$\cos(2x)=5-6\cos^2(x)$$
• $$\displaystyle \frac{1}{\cos^2(x)} -1 = \tan^2(x)$$
• $$\displaystyle 2\sin^2(\frac{x}{2}) + \cos(2x) = 0$$
• $$\sin(3x) - \sin(x)\cos(2x) = 0$$
• $$\sin(2x) = \tan(x)$$

## Más ecuaciones

• $$\displaystyle \cos(\frac{\pi}{6}+x) = \sin(x)$$
• $$\displaystyle 2\tan(x)-3\text{cotan}(x)-1 = 0$$
• $$\displaystyle \cos^2(x)-3\sin^2(x)=0$$
• $$\displaystyle \sin^2(x)-\cos^2(x)=\frac{1}{2}$$
• $$\displaystyle \cos(3x)+\cos(x) = 0$$
• $$\displaystyle \sin^2(x)+\sin^2(2x) = 1$$
• $$\displaystyle 1-\sin(2x) = \cos(x) - \sin(x)$$
• $$\displaystyle 1+\cos(x) + \cos(2x)$$
• $$\displaystyle 2\cos\left(x+\frac{\pi}{6}\right) = -1$$
• $$\displaystyle \sqrt{2}\cos^2(3x) - \cos(3x) = 0$$
• $$\displaystyle \sin^2(x)-\cos^2(x)+\sin(x) = 0$$