Solving trig equations algebraically

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 on the Interval [0,2π)
tan(x)+1=2

• 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 for x

don't forget cot = cos/sin

• π

• π/3

• π/2

• -π

Tags

CCSS.HSF.TF.B.7

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 on the domain [0, 2π)
2sin x cos x = √2 cos x

• π/2, 3π/2
• 0, π/4, 3π/4
• π/2, 3π/2, π/4, 3π/4
• No solution

Tags

CCSS.HSF.TF.B.7

Solve on the domain [0, 2π)
cos x + 2 = 3 cos x

• 0, 2π/3, 4π/3
• π
• 0
• No solution

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

Solve for x:
 $2\tan\left(x\right)=0$  

• 0

• π

•  $\frac{\pi}{3}$  

•  $\frac{π}{4}$  

• A
• B
• C
• D

Tags

CCSS.HSF.TF.B.7

Solve for all values of x over the interval [0,2π]

• $\frac{\pi}{6}\ and\ \frac{5\pi}{6}$

• DNE

• $\frac{\pi}{3}\ and\ \frac{2\pi}{3}$

• $\frac{3\pi}{2}$