Solving Trig Equations on Different Intervals

• π / 3

• 2π / 3

• 5π / 3

• 7π / 3

Tags

CCSS.HSF.TF.B.7

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

• TRUE
• FALSE

Tags

CCSS.HSF.TF.B.7

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 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

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

• θ = 0
• θ = π /2
• θ = π
• θ = 2π

Tags

CCSS.HSF.TF.B.7

• 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

• A
• B
• C
• D

Tags

CCSS.HSF.TF.B.7

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.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