Solving trig equations 2

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 tanθ+1=2 on θ∈[0, 2π)

• 0 and π

• 3π/4 and 7π/4

• π/4 and 5π/4

• 3π/4 and 5π/4

Tags

CCSS.HSF.TF.B.7

Solve 2cosθ - 4=0 for all values

• No solution

• θ = π/3 +2πn, 5π/3 +2πn

• θ = π/6 +2πn, 11π/6 +2πn

• θ = 2π/3 +2πn, 4π/3 +2πn

Tags

CCSS.HSF.TF.B.7

Solve 2cosθ - 4=0 for all values

• No solution

• θ = π/3 +2πn, 5π/3 +2πn

• θ = π/6 +2πn, 11π/6 +2πn

• θ = 2π/3 +2πn, 4π/3 +2πn

Tags

CCSS.HSF.TF.B.7

 $Solve\ \ \ 4\cos x+3=5\ \ \ for\ 0\le x<360\degree$  

•  $x\ =\ 60\degree,\ 120\degree$  

•  $x\ =\ 60\degree,\ 300\degree$  

•  $x\ =\ 30\degree,\ 150\degree$  

•  $x\ =\ 30\degree,\ 330\degree$  

Tags

CCSS.HSF.TF.B.7

 $Solve\ \ 2\sin^2x\ -\ 1\ =\ 1\ for\ 0\ \le\ x\ <\ 2\pi$  

•  $0,\ \pi$  

•  $\frac{\pi}{2},\ \frac{3\pi}{2}$  

•  $0,\ \frac{\pi}{2},\ \pi,\ \frac{3\pi}{2}$  

• No solution

Tags

CCSS.HSF.TF.B.7

 $Solve\ \ 6\ +\ 4\csc x\ =\ 14\ \ for\ \ 0\le\ x\ <\ 2\pi$  

•  $\frac{\pi}{3},\ \frac{2\pi}{3}$  

•  $\frac{4\pi}{3},\ \frac{5\pi}{3}$  

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

•  $\frac{\pi}{6},\ \frac{5\pi}{6}$  

Tags

CCSS.HSF.TF.B.7

 $Solve\ \ \cos x\ \tan x\ +\ \cos x\ =\ 0\ \ for\ 0\ \le\ x\ <\ 2\pi$  

•  $\frac{\pi}{4},\ \frac{\pi}{2},\ \frac{5\pi}{4},\ \frac{3\pi}{2}$  

•  $0,\ \frac{3\pi}{4},\ \pi,\ \frac{7\pi}{4}$  

•  $\frac{\pi}{2},\ \frac{3\pi}{4},\ \frac{3\pi}{2},\ \frac{7\pi}{4}$  

•  $0,\ \frac{\pi}{4},\ \pi,\ \frac{5\pi}{4}$  

Tags

CCSS.HSF.TF.B.7

Solve the equation for $0\degree\le\theta\le360\degree$ . Select ALL correct answers.

 $-15+4\cos\theta=-15-2\sqrt{2}$  

•  $45\degree$  

•  $135\degree$  

•  $225\degree$  

•  $315\degree$  

Tags

CCSS.HSF.TF.B.7

Solve the equation for $0\degree\le\theta\le360\degree$ . Select ALL correct answers.

 $2\sin\theta\cos\theta-\sqrt{2}\cos\theta=0$  

•  $45\degree$  

•  $90\degree$  

•  $135\degree$  

•  $270\degree$  

•  $315\degree$  

Tags

CCSS.HSF.TF.B.7