Solving Trig Equations Part1

TRUE or FALSE:
There is NO SOLUTION to sinθ = -1.

• TRUE
• FALSE

Tags

CCSS.HSF.TF.B.7

Which of these is NOT
 a solution to
tan θ = 0 ?

• θ = 0
• θ = π /2
• θ = π
• θ = 2π

Tags

CCSS.HSF.TF.B.7

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

• No solution
• π/3 +2πn, 5π/3 +2πn
• π/6 +2πn, 11π/6 +2πn
• 2π/3 +2πn, 4π/3 +2πn

Tags

CCSS.HSF.TF.B.7

Solve on the domain [0, 2π)
1/2sec x - 1 = 0

• π/6, 5π/6
• π/3, 5π/3
• 2π/3, 4π/3
• 7π/6, 11π/6

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)
cos² x + sin x + 1 = 0

• π
• 3π/2
• π/6, 5π/6, 3π/2
• 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

Solve for x:
 $\sin\left(x\right)=\ \frac{1}{2}$  

•  $-\frac{π}{3}$  

•  $\frac{π}{2}$  

•  $\frac{π}{6}$  

•  $\frac{π}{3}$  

Tags

CCSS.HSF.TF.B.7

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

• 0

• π

•  $\frac{\pi}{3}$  

•  $\frac{π}{4}$  

Tags

CCSS.HSF.TF.B.7