Section 7.7 _7.8

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 sinθ = ½ on θ∈[0, 2π)

• θ = π / 6,  7π / 6
• θ = π / 6,  5π / 6
• θ = 5π / 6,  7π / 6
• θ = 7π / 6,  11π / 6

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

Which of these is NOT
 a solution to
tan θ = 0 ?

• θ = 0
• θ = π /2
• θ = π
• θ = 2π

Tags

CCSS.HSF.TF.B.7

Solve on the domain [0, 2π)
1/2sec x - 1 = 0

• π/6, 5π/6
• π/3, 5π/3
• 2π/3, 4π/3
• 7π/6, 11π/6

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)
1/4sin x + 1= 0

• 0
• 7π/4
• 5π/4
• No solution

Tags

CCSS.HSF.TF.B.7

 $\sin^2x=3\cos^2x$  
(Hint: use a Pythagorean identity to get it all in terms of sine or cosine.)

•  $x=\frac{\pi}{3}+\pi n,\ \ \ x=\frac{2\pi}{3}+\pi n$  

•  $x=\frac{\pi}{3}+2\pi n$  

•  $x=\frac{2\pi}{3}+2\pi n$  

•  $x=all\ real\ numbers$  

Tags

CCSS.HSF.TF.B.7

 $\tan^2\ x=3$  

•  $x=\frac{\pi}{3}+\pi n,\ \ \ x=\frac{2\pi}{3}+\pi n$  

•  $x=\frac{\pi}{6}+\pi n,\ \ \ \ x=\frac{5\pi}{6}+\pi n$  

•  $x=\frac{\pi}{3}+2\pi n,\ \ \ \ x=\frac{2\pi}{3}+\pi n$  

• No solution

Tags

CCSS.HSF.TF.B.7

Find all solutions on the interval  $\left[0,\ 2\pi\right)$  for  $\sec^2x\ -\ 1=0$  

•  $x=0,\ \ \ x=\pi$  

•  $x=\frac{\pi}{2},\ \ \ x=\frac{3\pi}{2}$  

•  $x=\frac{\pi}{4},\ \ \ x=\frac{3\pi}{4}$  

•  $x=0$  

Tags

CCSS.HSF.TF.B.7