Solve Trig Equation

Solve sinθ = ½ on θ∈[0, 2π)

• θ = π / 6,  7π / 6

• θ = π / 6,  5π / 6

• θ = 5π / 6,  7π / 6

• θ = 7π / 6,  11π / 6

Tags

CCSS.HSF.TF.B.7

Solve
cos²θ = ½ 
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
cosθ = - √(3)/2  
on θ∈[0, 2π)

• θ = π /3, 2π /3

• θ = 2π /3, 4π /3

• θ = π /6, 5π /6

• θ = 5π /6, 7π /6

Tags

CCSS.HSF.TF.B.7

Simplify and then solve using fundamental trig IDs. 4\sin^2x-3=0

• 60 and 240

• 120 and 240

• 60 and 150

• 210 and 300

• 30 and 150

Tags

CCSS.HSF.TF.B.7

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

4cos²x - 3 = 0

• π/3, 2π/3, 4π/3, 5π/3

• π/6, 11π/6

• π/3, 5π/3

• π/6, 5π/6, 7π/6, 11π/6

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 on the domain [0,2π)
1/4sin x + 1= 0

• 0

• 7π/4

• 5π/4

• No solution

Tags

CCSS.HSF.TF.B.7

Which of the following is NOT
a solution to
sin θ = √(3) / 2 ?

• π / 3

• 2π / 3

• 5π / 3

• 7π / 3

Tags

CCSS.HSF.TF.B.7

Solve sinθ = -1 on θ∈[0, 2π)

• θ = π /2, 3π /2 

• θ = π /2

• θ = 3π /2

• θ = π  

Tags

CCSS.HSF.TF.B.7

Solve
cos θ = -1
on  θ∈[0, 2π)

• θ = π /2, 3π /2 

• θ = π /2

• θ = 3π /2

• θ = π  

Tags

CCSS.HSF.TF.B.7