Solving Trigonometric Equations

• A
• B
• C
• D

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
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 on 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

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.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

• π /3,  2π/3

• 2π /3,  4π/3

• π /6,  5π/6

• 5π /6,  7π/6

Tags

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.B.7

Why doesn't 2cosx − 3 = 0 have solutions?

• cosx is never bigger than one

• cosx is never equal to a fraction

• Actually, this equation does have a solution, x = π

• This equation will have a solution tomorrow.

Tags

CCSS.HSF.TF.B.7

Tags

CCSS.HSF.TF.B.7