Solving trig equations

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

• TRUE
• FALSE

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

Solve tanθ+1=2 on θ∈[0, 2π)

• 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 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 cosθ = -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 cosθ=1 on θ∈[0, 2π)

• θ = 0

• θ = π/2

• θ = π

• θ = 3π/2

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 the equation for $0\degree\le\theta\le360\degree$ . Select ALL correct answers.

 $\tan\theta=-\sqrt{3}$  

•  $60\degree$  

•  $120\degree$  

•  $240\degree$  

•  $300\degree$  

Tags

CCSS.HSF.TF.B.7

Solve the equation for $0\degree\le\theta\le360\degree$ . Select ALL correct answers.

 $6\sin\theta=3$  

•  $60\degree$  

•  $300\degree$  

•  $30\degree$  

•  $150\degree$  

Tags

CCSS.HSF.TF.B.7

Solve the equation for $0\degree\le\theta\le360\degree$ . Select ALL correct answers.

 $4\cos\theta=-2$  

•  $60\degree$  

•  $120\degree$  

•  $240\degree$  

•  $300\degree$  

Tags

CCSS.HSF.TF.B.7