Trig Equations

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

sinx=1/2

• 0

• 30

• 45

• 60

Solve for the unknown variable on the interval 0≤x<2π

sinx - 2sinxcosx = 0

• 2π/3, 4π/3, 0, π

• 2π/3, 4π/3

• 0, π

Solve for the unknown variable on the interval 0≤x<2π

2cos²x + cosx = 0

• π/2, 3π/2, 2π/3, 4π/3

• 0, π, 2π/3, 4π/3

• π/2, 3π/2, 5π/6, 7π/6

Solve on the domain [0, 2π)
1/2sec x - 1 = 0

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

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)
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.HSA.REI.A.1

CCSS.HSF.TF.A.3

CCSS.HSF.TF.A.4

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.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

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.HSA.REI.B.3

CCSS.HSF.TF.A.3

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.7

• A
• B
• C
• D