Solving Trig Equations III

Solve on the domain [0, 2π)
2sin x cos x = √2 cos x

• π/2, 3π/2
• 0, π/4, 3π/4
• π/2, 3π/2, π/4, 3π/4
• No solution

Tags

CCSS.HSF.TF.B.7

Solve for x

don't forget cot = cos/sin

• π

• π/3

• π/2

• -π

Tags

CCSS.HSF.TF.B.7

• A
• B
• C
• D

Tags

CCSS.HSF.TF.B.7

Solve equation for  $0\le\theta<2\pi$  .
 $-2+\cot\theta=-3$  

•  $\theta=\frac{3\pi}{4},\frac{4\pi}{3},\frac{7\pi}{4}$  

•  $\theta=\frac{3\pi}{4},\frac{7\pi}{4}$  

•  $\theta=\frac{\pi}{3},\frac{4\pi}{3}$  

•  $\theta=\frac{3\pi}{4},\frac{4\pi}{3}$  

Tags

CCSS.HSF.TF.B.7

Solve equation for  $0\le\theta<2\pi$  .
 $-2=-5+3\sec\theta$  

•  $\theta=0,\frac{\pi}{3}$  

•  $\theta=0$  

•  $\theta=\frac{\pi}{3},\frac{5\pi}{3}$  

•  $No\ Solution$  

Tags

CCSS.HSF.TF.B.7

Solve equation for  $0\le\theta<2\pi$  .
 $-1-2\sec^2\theta=-3\sec^2\theta$  

•  $\theta=0,\pi,\frac{4\pi}{3}$  

•  $\theta=0$  

•  $\theta=\frac{\pi}{4},\frac{3\pi}{4},\frac{5\pi}{4},\frac{7\pi}{4}$  

•  $\theta=0,\pi$  

Tags

CCSS.HSF.TF.B.7

Solve equation for  $0\le\theta<2\pi$  .
 $1+\tan^2\theta=4\tan^2\theta$  

•  $\theta=\frac{\pi}{6},\frac{5\pi}{6},\frac{7\pi}{6},\frac{11\pi}{6}$  

•  $\theta=\frac{\pi}{3},\frac{2\pi}{3},\frac{4\pi}{3},\frac{5\pi}{3}$  

•  $\theta=\frac{\pi}{6},\frac{7\pi}{6}$  

•  $\theta=\frac{\pi}{6},\frac{5\pi}{6},\frac{7\pi}{6}$  

Tags

CCSS.HSF.TF.B.7

Solve equation for  $0\le\theta<2\pi$  .
 $3\sin^2\theta+4=5+\sin^2\theta$  

•  $\theta=\frac{\pi}{4},\frac{5\pi}{4},\frac{7\pi}{4}$  

•  $\theta=\frac{\pi}{4},\frac{7\pi}{4}$  

•  $\theta=\frac{\pi}{4},\frac{3\pi}{4}$  

•  $\theta=\frac{\pi}{4},\frac{3\pi}{4},\frac{5\pi}{4},\frac{7\pi}{4}$  

Tags

CCSS.HSF.TF.B.7

Solve equation for  $0\le\theta<2\pi$  .
 $4+\csc^2\theta=2\csc^2\theta$  

•  $\theta=\frac{5\pi}{6},\frac{4\pi}{3}$  

•  $\theta=\frac{\pi}{6},\frac{5\pi}{6}$  

•  $\theta=\frac{\pi}{6},\frac{5\pi}{6},\frac{7\pi}{6},\frac{11\pi}{6}$  

•  $\theta=\frac{\pi}{6}$  

Tags

CCSS.HSF.TF.B.7

Solve equation for  $0\le\theta<2\pi$  .
 $-\sin\theta\csc\theta+3\csc\theta=\sqrt{2}\sin\theta+3\csc\theta$  

•  $\theta=\frac{5\pi}{4},\frac{11\pi}{6}$  

•  $\theta=\frac{3\pi}{4},\frac{7\pi}{6},\frac{7\pi}{4}$  

•  $\theta=0,\pi,\frac{5\pi}{4},\frac{7\pi}{4}$  

•  $\theta=\frac{5\pi}{4},\frac{7\pi}{4}$  

Tags

CCSS.HSF.TF.B.7