Solving Trig Equations Quiz

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.A.2

CCSS.HSF.TF.A.3

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.A.2

CCSS.HSF.TF.A.3

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.7

CCSS.HSF.TF.C.8

Solve tanθ+1=2 on θ∈[0, 2π)

• 0 and π

• 3π/4 and 7π/4

• π/4 and 5π/4

• 3π/4 and 5π/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 sinθ = -1 on θ∈[0, 2π)

• θ = π /2, 3π /2

• θ = π /2

• θ = 3π /2

• θ = π

Tags

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

Solve cosθ = -1 on θ∈[0, 2π)

• θ = π /2, 3π /2

• θ = π /2

• θ = 3π /2

• θ = π

Tags

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

CCSS.HSF.TF.C.8

Solve cosθ=1 on θ∈[0, 2π)

• θ = 0

• θ = π/2

• θ = π

• θ = 3π/2

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.B.7

Solve 2cosθ - 4=0 for all values

• No solution

• θ = π/3 +2πn, 5π/3 +2πn

• θ = π/6 +2πn, 11π/6 +2πn

• θ = 2π/3 +2πn, 4π/3 +2πn

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.7

Solve 2cos²θ -1=0 for all values

• θ = π /4+2πn, 7π /4+2πn

• θ = π /4+2πn, 3π /4+2πn

• θ = 3π /4+2πn, 5π /4+2πn

• θ = π /4+2πn, 3π /4+2πn, 5π /4+2πn, 7π /4+2πn

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

TRUE or FALSE:
There is NO SOLUTION to sinθ = -1.

• TRUE
• FALSE

Tags

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

Which of these is NOT
 a solution to
tan θ = 0 ?

• θ = 0
• θ = π /2
• θ = π
• θ = 2π

Tags

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

CCSS.HSF.TF.A.4