Solving Trig Equations

Solve on the Interval [0,2π)

tan(2x) +1 = 2

• π/8, 5π/8, 9π/8, and 13π/8

• π/8 and 5π/8

• π/4, 3π/4, 5π/4, and 7π/4

• π/4 and 5π/4

• None of these

Tags

CCSS.HSF.TF.B.7

Solve √3 tan θ + 1 = 0 from [0,2π)

• π/6, 5π/6

• None of these

• 5π/6, 11π/6

• π/3, 2π/3

• 2π/3,5π/3

Tags

CCSS.HSF.TF.B.7

• π/6, 5π/6

• 2π/3, 4π/3

• π/3, 5π/3

• 7π/6, 11π/6

Tags

CCSS.HSF.TF.B.7

• π/6, 11π/6

• π/6, 5π/6, 7π/6, 11π/6

• π/3, 2π/3, 4π/3, 5π/3

• π/3, 2π/3

Tags

CCSS.HSF.TF.B.7

Solve on the domain [0, 2π)

2sin x cos x = √2 cos x

• π/2, 3π/2

• No solution

• π/2, 3π/2, π/4, 3π/4

• 0, π/4, 3π/4

Tags

CCSS.HSF.TF.B.7

Solve on the domain [0, 2π)

cos² x + sin x + 1 = 0

• π

• π/6, 5π/6, 3π/2

• No solution

• 3π/2

Tags

CCSS.HSF.TF.B.7

• No solution

• 5π/4

• 7π/4

• 0

Tags

CCSS.HSF.TF.B.7

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

• cos x is never bigger than one

• This equation will have a solution tomorrow.

• cos x is never equal to a fraction

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

Tags

CCSS.HSF.TF.B.7

Solve on the interval [0, 2π)

1–sinx = cosx

• None of these

• 0, π

• 0, π/2, π

• 0, π/2

Tags

CCSS.HSF.TF.B.7

Solve sinx = sin²x from [0, 2π)

• π/2, 3π/2

• 0, π/2, π, 2π

• π/2, 2π

• 0, π/2, π

Tags

CCSS.HSF.TF.B.7