Trig Equation Test Review

Which of the following angles are solutions to:

4cos²(2x) - 2 = 0? From 0 - 2π

• π/4, 3π/4, 5π/4, 7π/4

• π/4, 3π/4, 5π/4, 7π/4, 9π/4, 11π/4, 13π/4, 15π/4

• π/8, 3π/8, 5π/8, 7π/8

• π/8, 3π/8, 5π/8, 7π/8, 9π/8, 11π/8, 13π/8, 15π/8

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)
cos² x + sin x + 1 = 0

• π
• 3π/2
• π/6, 5π/6, 3π/2
• No solution

Tags

CCSS.HSF.TF.B.7

Which of the following angles are solutions to

(cos(2x))(2cosx + 1) = 0?

• π/2, 2π/3, 4π/3, 3π/2

• π/4, 3π/4, 5π/4, 7π/4, 2π/3, 4π/3

• π/4, 2π/3, 4π/3, 3π/4

• π/4, 3π/4, 5π/4, 7π/4

Tags

CCSS.HSF.TF.B.7