Solution of Trigonometric

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

Find the solution over the interval [0, 360]

• $0\degree,\ 30\degree,\ 150\degree,\ 210\degree,\ 330\degree,360\degree$

• $0\degree,\ 30\degree,210\degree$
  

• $0\degree,\ 30\degree,\ 150\degree,\ 210\degree,\ 330\degree$
  

• $30\degree,\ 150\degree,\ 210\degree,\ 330\degree$
  

Solve the trigonometric equation:

 $4\sin^2\left(x\right)-3=0$  

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

•  $\frac{\pi}{4},\frac{3\pi}{4},\frac{5\pi}{4},\frac{7\pi}{4}$  

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

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

Tags

CCSS.HSF.TF.B.7

Solve the trigonometric equation:

 $\tan^2\left(x\right)+2\tan\left(x\right)=-1$  

•  $\frac{\pi}{4},\frac{5\pi}{4}$  

•  $\frac{2\pi}{3},\frac{5\pi}{3}$  

•  $\frac{7\pi}{6},\frac{\pi}{6}$  

•  $\frac{3\pi}{4},\frac{7\pi}{4}$  

Tags

CCSS.HSF.TF.B.7

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 the equation  $\cos\left(2x\right)=-0.5$  for  $0\degree\le x\le360\degree$  .

•  $-120\degree,120\degree$  

•  $60\degree,\ 120\degree$  

•  $120\degree,\ 240\degree$  

•  $120\degree,240\degree,480\degree,600\degree$  

Solve for 0≤x≤2π

sinxtanx = sinx

• π/2, 3π/2

• 3π/4, 7π/4

• 0, π, 2π

• π/4, 5π/4

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

 $\cos2x=\cos\ x$  for  $0\degree\le x\le360\degree$  

•  $0\degree,\ 60\degree,120\degree,360\degree$  

•  $0\degree,60\degree,\ 120\degree$  

•  $0\degree,120\degree,240\degree,360\degree$  

•  $0\degree,120\degree,240\degree$  

Solve $5\cos2x+9\sin x=7$  for  $0\degree\le x\le360\degree$  

•  $30\degree,\ 150\degree,\ 203.58\degree,\ 336.42\degree$  

•  $23.58\degree,\ 30\degree,\ 150\degree,\ 156.42\degree$  

•  $23.58\degree,\ 156.42\degree,\ 210\degree,\ 330\degree$  

•  $203.58\degree,\ 210\degree,\ 330\degree,\ 336.42\degree$