Solving Trig Equations

Solve: 4sinθ + 1 = 3

State all solutions in the interval [0, 2π)

• π/ 6, 7π/6

• π/6, 5π/ 6

• 5π/6, 7π/6

• 7π/6, 11π/6

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

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

• A
• B
• C
• D

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

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

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

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

Solve for x

don't forget cot = cos/sin

• π

• π/3

• π/2

• -π

solve the equation sinx=1

• 0

• 45

• 90

• 180

cosx=1

• 0

• 30

• 45

• 90