Trigonometric Equations

Solve sinθ = -1 on θ∈[0, 2π)

• θ = π /2, 3π /2 
• θ = π /2
• θ = 3π /2
• θ = π  

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

The solution set of the equation $\sin x=-\frac{1}{2}$   

for  $<0,2\pi>$  is:

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

• $\left\{\frac{7\pi}{6}\right\}$

• $\left\{\frac{11\pi}{6}\right\}$

• $\left\{\frac{5\pi}{6},\frac{7\pi}{6}\right\}$

Tags

CCSS.HSF.TF.B.7

Solve
cosθ = - √(3)/2  
on θ∈[0, 2π)

• 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 $\sin\theta=-0.32$  for  $0\le\theta\le2\pi$  giving your answers to 3 significant figures

•  $\theta=0.325,3.47$  

•  $\theta=3.47,5.96$  

•  $\theta=2.81,\ 5.96$  

•  $\theta=2.81,3.47$  

Tags

CCSS.HSF.TF.B.7

Solve for 0≤x≤2π

tanx = 1

• π/2, π

• π/4, 3π/4

• π/4, 5π/4

• 3π/4, 7π/4

Tags

CCSS.HSF.TF.B.7

Factor completely.
k² -2k - 24

• (k+4)(k-6)
• (k+4)(k+6)
• (k+6)(k-1)
• (k-4)(k+6)

Factor completely: x²-6x+8

• (x-2)(x-4)
• (x-1)(x-8)
• (x+2)(x+4)
• (x+1)(x+8)

What are the factors of
25x² - 81?

• (5x - 9)(5x + 9)
• (5x - 9)(5x - 9)
• (5x + 9)(5x + 9)
• Cannot be factored

Tags

CCSS.HSA.APR.C.4

Factor by grouping:
3x³-x²+6x-2

• (x²+2)(3x+1)
•  (x²+2)(3x-1)
• (3x³+6x)(x²-2)
• none of the aboe