Nov. 4: Assignment B

Find all the solutions [0,360) for this equation:

sin x = 1/2

• $60\degree$

• $30\degree$
  

• $150\degree$

• $330\degree$
  

Tags

CCSS.HSF.TF.B.7

 $2\sin x+3=2$  

•  $30\degree\ ,\ 120\degree$  

•  $210\degree$  

•  $210\degree,\ 330\degree$  

Tags

CCSS.HSF.TF.B.7

Solve   $\frac{1}{2}\sec x-1=0$  

•  $30\degree,\ 150\degree$  

•  $60\degree,\ 300\degree$  

•  $120\degree,\ 240\degree$  

•  $210\degree,\ 330\degree$  

Tags

CCSS.HSF.TF.B.7

Solve on the domain [0, 360)

cos x + 2 = 3 cos x

• $0,\ 120\degree,\ 240\degree$

• $180\degree$
  

• 0

• No solution

Tags

CCSS.HSF.TF.B.7

Which of these is equivalent to 2cos²x − 3cosx = 0 ?

• -cos²x = 0

• cosx(2cosx + 3) = 0

• cosx(2cosx − 3) = 0

• cos x = ⅔

Solve $2\cos x-4=0$ for all values. 

• No solution

• x = π/3 +2πn, 5π/3 +2πn

• x = π/6 +2πn, 11π/6 +2πn

• x = 2π/3 +2πn, 4π/3 +2πn

Tags

CCSS.HSF.TF.B.7

Choose a good way to start solving this equation

tanx sin²x = 2 tanx

• divide tanx from both sides

• factor out tanx

• subtract 2 tanx from the left and then factor tanx out

• cancel sin²x out

Tags

CCSS.HSF.TF.B.7

Which is a correct way to solve the equation

cosx(2cosx − 3) = 0?

• divide cos x from both sides

• set each factor equal to 0 and solve

• distribute cosx into the parentheses

• guess and hope for the best

Tags

CCSS.HSF.TF.B.7

Solve equation on $0\le\theta<360\degree$  .

 $3\sin^2\theta+4=5+\sin^2\theta$  

•  $\theta=45\degree,225\degree,315\degree$  

•  $\theta=45\degree,315\degree$  

•  $\theta=45\degree,\ 135\degree$  

•  $\theta=45\degree,\ 135\degree,\ 225\degree,\ 315\degree$  

Tags

CCSS.HSF.TF.B.7

Factor 0 = sin²x − sinx

• 0 = sinx(sinx)

• 0 = sinx(1 − sinx)

• 0 = cosx(sinx − 1)

• 0 = sinx(sinx − 1)

Tags

CCSS.HSF.TF.B.7