Solving Trigonometric Equations

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.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.7

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 interval [0,360)
2cosx-1=0

• 60,120
• 60, 240
• 120, 240
• 60, 300

Tags

CCSS.HSF.TF.B.7

 $Solve\ 2\sin x-1=0\ for\ 0≤x≤360°$  

• 30, 150
  

• 60, 120
  

• 45, 225
  

• 90, 270
  

Tags

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.7

 $Solve\sqrt{2}\cos⁡x-1=0\ for\ 0≤x≤360°$  

• 45, 225
  

• 45, 135
  

• 135, 225
  

• 45, 315
  

Tags

CCSS.HSA.REI.A.2

CCSS.HSF.TF.A.3

CCSS.HSF.TF.B.7

CCSS.HSG.SRT.C.6

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

• 30, 330
  

• 60, 300
  

• 150, 210
  

• 120, 240
  

Tags

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

CCSS.HSF.TF.B.7

• A

• B

• C

• D

• A

• B

• C

• D

Solve on the domain [0, 2π)
4sin²x = 3

• π/6, 11π/6
• π/3, 2π/3
• π/6, 5π/6, 7π/6, 11π/6
• π/3, 2π/3, 4π/3, 5π/3

Tags

CCSS.HSF.TF.B.7

• No solution
• π/3 +2πn, 5π/3 +2πn
• π/6 +2πn, 11π/6 +2πn
• 2π/3 +2πn, 4π/3 +2πn

Tags

CCSS.HSF.TF.B.7