# Trigonometry Homework #12 due 5-25

Solve each equation for $x$

1. $2\sin{x}=\sin^2{x}+\cos^2{x}$

2. $3\tan^2{x}=1$

3. $\tan{x}-\cot{x}=\frac{\sin{x}-\cos{x}}{\sin{x}}$

4. $\cos^2\frac{x}{5}=\frac{1}{2}$

5. $\csc\left(x+\frac{2\pi}{5}\right)=1$

6. $\sqrt{\frac{1-\cos\frac{x}{4}}{2}}=\frac{\sqrt{3}}{2}$

7. $\tan{x}\cos{x}=0$

8. $\tan{x}=\frac{\sin\frac{5\pi}{6}}{1+\cos\frac{5\pi}{6}}$

9. $\sec^2{x}+1=5$

10. $\ln[-\cos(4x)]=0$