PRECALC: Chapter 5.1-5.3 REVIEW

Solve on the Interval [0,2π)
tan(x)+1=2

• 0 and π  
• 3π/4 and 7π/4
• π/4 and 5π/4
• 3π/4 and 5π/4

Tags

CCSS.HSF.TF.B.7

Solve on the domain [0, 2π)
cos² x + sin x + 1 = 0

• π
• 3π/2
• π/6, 5π/6, 3π/2
• No solution

Tags

CCSS.HSF.TF.B.7

Solve for 0≤x≤2π

2sin²x - 5sinx + 2 = 0

• π/6, 5π/6

• 7π/6, 11π/6

• π/3, 2π/3

• 4π/3, 5π/3

Tags

CCSS.HSF.TF.B.7

Solve for 0≤x≤2π

tanx = 1

• π/2, π

• π/4, 3π/4

• π/4, 5π/4

• 3π/4, 7π/4

Tags

CCSS.HSF.TF.B.7

Solve for 0≤x≤2π

2cos²x = cosx + 1

• 2π/3, 4π/3

• π/3, 2π/3

• 0, 2π

• π

Tags

CCSS.HSF.TF.B.7

 $Solve\sin x=\frac{\sqrt{3}}{2}\ ​for\ 0≤x≤2\pi$  

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

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

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

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

 $Solve\sin2⁡x=\frac{\sqrt{3}}{2}\ for\ \left[0,2\pi\right]$  

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

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

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

 $Solve\cos⁡2x=-\frac{\sqrt{3}}{2}\ for\ 0≤x≤360°$  

• 150, 210
  

• 120, 150, 300, 330
  

• 45, 315
  

• 75, 105, 255, 285
  

Tags

CCSS.HSF.TF.B.7

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

Solve: 2cos²θ -1=0 on [0, 2π).

• θ = π /4, 7π /4

• θ = π /4, 3π /4

• θ = 3π /4, 5π /4

• θ = π /4, 3π /4, 5π /4, 7π /4

Solve the trigonometric equation:

 $2\cos\left(x\right)+\sqrt{2}=0$  

•  $\frac{3\pi}{4},\frac{5\pi}{4}$  

•  $\frac{\pi}{4},\frac{3\pi}{4}$  

•  $\frac{5\pi}{4},\frac{7\pi}{4}$  

•  $\frac{\pi}{2},\ \frac{3\pi}{2}$  

Tags

CCSS.HSF.TF.B.7