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

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