Solving Trig Equations

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 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 on the domain [0,2π)
cos x + 1 = 0

• 0
• No solution
• π
• 3π/2

Tags

CCSS.HSF.TF.B.7

Solve on the Interval [0,2π) 
   sinθ = -1   

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

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 on the Interval [0,2π)
     tan(x) + 1 = 0     

• x = π/4, x = 5π/4
• x = π/4, x = 3π/4
• x = π/2
• x = 3π/4, x = 7π/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

• 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

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

• TRUE
• FALSE

Tags

CCSS.HSF.TF.B.7

2 sinθ+3=2

• π/6,2π/3
• 7π/6 
• 7π/6, 11π/6

Tags

CCSS.HSF.TF.B.7