# Trigonometry Classwork 5-23-17

In 1-9, solve each equation for $x$ such that $0\leq x<2\pi$.

1. $2\sin(3x)+1=0$
2. $2\cos(2x)+1=0$
3. $\sec(4x)-2=0$
4. $\sqrt{3}\tan(3x)+1=0$
5. $2\cos(3x)=1$
6. $2\sin{x}\tan{x}-\tan{x}=1-2\sin{x}$
7. $\sec{x}\tan{x}-\cos{x}\cot{x}=\sin{x}$
8. $\tan{x}-3\cot{x}=0$
9. $\tan(3x)+1=\sec(3x)$
10. Solve for $x$ such that $0\leq x<2\pi$ and round to the nearest thousandth: $\cos{x}=0.4$

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

# Homework #14 due 12-1

Stewart p. 128 #17, 25, 39, 41, 57, 62, 66, 67; p. 129 #71, p. 135 #39

# Homework #12 due 11-7

Stewart page 134 “Concept Check” #12, “Exercises” #10,11,12,19,20, page 135 #25,26,35,36,