Trig Equations Part 1

Solve in 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

• 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: 4cos²x = 1 for 0⁰ < x < 360⁰

• x = 60⁰, 300⁰

• x = 120⁰, 240⁰

• x = 60⁰, 120⁰, 240⁰, 300⁰

• x = 45⁰, 225⁰

Tags

CCSS.HSF.TF.B.7

• x = 0⁰, 360⁰

• x = 180⁰, 360⁰, 0^o

• x = 0⁰, 90⁰, 270⁰, 360⁰

• x = 0⁰, 90⁰, 270⁰

Tags

CCSS.HSF.TF.B.7

Solve
2cos²θ -1=0
on θ∈[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

Tags

CCSS.HSF.TF.B.7

Solve for x where 0⁰< x < 360^o

√3 sinx = cos x

• 30^o

• 30^o and 150^o

• 30^o and 210^o

• 150^o and 330^o

Tags

CCSS.HSF.TF.B.7

• x = 0⁰, 360⁰

• x = 180⁰, 360⁰, 0^o

• x = 0⁰, 90⁰, 270⁰, 360⁰

• x = 0⁰, 90⁰, 270⁰

Tags

CCSS.HSF.TF.B.7

Solve for x where 0< X< 2π

sin2x - cos x = 0

• 0

• $\frac{\pi}{2},\frac{3\pi}{2}$ π/6, 5π/6
  

• 0, π

• π/6, 5π/6

Tags

CCSS.HSF.TF.B.7

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

• x = π/4, x = 5π/4
• x = π/4, x = 3π/4
• x = π/2
• x = 3π/4, x = 7π/4

Tags

CCSS.HSF.TF.B.7

  $2\ \tan^2\ x\ -\ \tan\ x\ -3=0\ \left[0,360\right]$  

• { 56, 135}
  

• {56, 236}

• {45, 124, 225, 304}
  

• {56,135,236,315}

Tags

CCSS.HSF.TF.B.7