Solving Trig Equations #1

tan x = -1

• $\frac{\pi}{4}$

• $\frac{\pi}{4}and\ -\frac{\pi}{4}$

• $\frac{3\pi}{4}and\ \frac{5\pi}{4}$

• $-\frac{\pi}{4}and\ \frac{3\pi}{4}$

• $\frac{5\pi}{4}and\ -\frac{\pi}{4}$

Tags

CCSS.HSF.TF.B.7

Solve

cosθ = - √(3)/2

• 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

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

• 0
• No solution
• π
• 3π/2

Tags

CCSS.HSF.TF.B.7

sinx=0

• 0

• 30

• 45

• 90

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

• 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

 $\sqrt{2}\cos x-1=0$  Find the general solution of the equation.

• π/4

• π/4 and  7π/4

• 7π/4

• π/4, 3π/4

Tags

CCSS.HSF.TF.B.7

Solve: 2sinx-1=0; [ 0, 2 $\pi$ ]

•  $\frac{1}{2}$  

•  $\frac{\pi}{6},\ \frac{5\pi}{6}$  

•  $\frac{\pi}{3},\ \frac{5\pi}{3}$  

•  $\frac{\pi}{6},\ \frac{5\pi}{6},\ \frac{7\pi}{6},\ \frac{11\pi}{6}$  

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