Solving Trig Equations

Solve on the domain [0,2π)
cos x + 1 = 0

• 0
• No solution
• π
• 3π/2

Tags

CCSS.HSF.TF.B.7

Solve on the domain [0, 2π)
cos x + 2 = 3 cos x

• 0, 2π/3, 4π/3
• π
• 0
• No solution

Tags

CCSS.HSF.TF.B.7

Solve equation for  $0\le\theta<2\pi$  .
 $1=5-8\cos\theta$  

•  $\theta=\frac{\pi}{6},\frac{\pi}{3},\frac{11\pi}{6}$  

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

•  $\theta=\frac{\pi}{6}$  

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

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  $0\le\theta<2\pi$  .
 $0=-\sqrt{3}\sin\theta-2\sin^2\theta$  

•  $\theta=0,\frac{2\pi}{3},\pi,\frac{5\pi}{3}$  

•  $\theta=\frac{\pi}{2},\frac{7\pi}{6},\frac{3\pi}{2},\frac{11\pi}{6}$  

•  $\theta=0,\pi,\frac{4\pi}{3},\frac{5\pi}{3}$  

•  $\theta=0,\pi,\frac{5\pi}{3}$  

Tags

CCSS.HSF.TF.B.7

Solve 2cos²θ -1=0 for all values

• θ = π /4+2πn, 7π /4+2πn

• θ = π /4+2πn, 3π /4+2πn

• θ = 3π /4+2πn, 5π /4+2πn

• θ = π /4+2πn, 3π /4+2πn, 5π /4+2πn, 7π /4+2πn

Tags

CCSS.HSF.TF.B.7

 $Solve\ \ \ 3\sec^2x\ =\ 4\ \ for\ \ 0\ \le\ x\ <\ 2\pi$  

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

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

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

•  $0,\ \frac{\pi}{2},\ \pi,\ \frac{3\pi}{2}$  

Tags

CCSS.HSF.TF.B.7