Solving Trigonometric Equations

Solve for 0≤x≤2π

2cos²x + cosx = 0

• π/2, 3π/2

• 0, π,2π

• 2π/3, 4π/3

• π/3, 5π/3

Tags

CCSS.HSF.TF.B.7

Solve for 0≤x≤2π

2sin²x - 5sinx + 2 = 0

• π/6, 5π/6

• 7π/6, 11π/6

• π/3, 2π/3

• 4π/3, 5π/3

Tags

CCSS.HSF.TF.B.7

Solve for 0≤x≤2π

3sin²x + sinx - 4 = 0

• 0, π

• π/2

• π/6, 5π/6

• 3π/2

Tags

CCSS.HSF.TF.B.7

Solve for 0≤x≤2π

2cos²x + 3cosx = -1

• 0, 2π

• π

• 2π/3, 4π/3

• π/3, 5π/3

Tags

CCSS.HSF.TF.B.7

Solve for 0≤x≤2π

6sin²x - sinx - 1 = 0

• $\frac{\pi}{6},\frac{5\pi}{6}$

• $\frac{7\pi}{6},\frac{11\pi}{6}$

• 3.48, 5.94

• 0.33, 2.81

Tags

CCSS.HSF.TF.B.7

Solve on the domain [0,2π)
cos x + 1 = 0

• 0
• No solution
• π
• 3π/2

Tags

CCSS.HSF.TF.B.7

Solve sin x + cos x = 0 from 0 to 2π.

• 2π/3

• 3π/4

• 5π/6

• 2π

Tags

CCSS.HSF.TF.B.7

Solve for 0≤x≤2π

(cotx - √3) (cscx + 2)

• π/6

• 5π/6

• 7π/6

• 11π/6

Tags

CCSS.HSF.TF.B.7

Solve for 0≤x≤2π

3sin²x + sinx - 4 = 0

• 0, π

• π/2

• π/6, 5π/6

• 3π/2

Tags

CCSS.HSF.TF.B.7

Solve for 0≤x≤2π

4cos²x - 2 = 0

• π/3, 5π/3

• π/4, 7π/4

• 3π/4, 5π/4

• π/6, 11π/6

Tags

CCSS.HSF.TF.B.7