sin θ =
1
2 Find all solutions over the interval 0 ≤ θ ≤ 2π . ⎧ π 5π ⎫
⎨ ,
⎬ ⎩ 6 6 ⎭
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cosθ =
2
2 €
Find all solutions over the interval 0 ≤ θ < 360˚ . {45˚, 315˚} € csc θ = 2 €
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Find all solutions over the interval 0 ≤ θ < 360˚ . {270˚} €
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sin θ = 2
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Find all solutions over the interval 0 ≤ θ ≤ 360˚ . {30˚, 150˚} €
€
csc θ = −1
€
Find all solutions over the interval 0 < θ ≤ 2π . €
{∅} €
€
€
Find all solutions over the interval 0 ≤ θ < 360˚ . {150˚, 210˚} 2cosθ + 3 = 0 €
€
2cosθ + 3 = 4 €
4 cos2 θ − 3 = 0 € €
Find all solutions over the interval 0 ≤ θ < 360˚ . {60˚, 300˚} €
€
Find all solutions over the interval 0 < θ < 2π . ⎧ π 5π 7π 11π ⎫
⎨ ,
⎬ ,
,
⎩ 6 6
6
6 ⎭
€
€
Find all solutions over the interval 0 ≤ θ ≤ 2π . ⎧ π
⎫
⎨0, , π, 2π ⎬ ⎩ 2
⎭
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tan θ sin θ − tan θ = 0 €
Find all solutions over the interval 0 < θ ≤ 2π . ⎧ 3π 5π ⎫
⎨ ,
⎬ ⎩ 4
4 ⎭
€
€
3cosθ + 2 = cos θ €
sin θ tan θ − sin θ = 0 €
€
€
2cos2 θ + cos θ = 0 Find all solutions over the interval 0 < θ ≤ 2π . ⎧ π 2π 4π 3π ⎫
⎨ ,
⎬ ,
,
⎩ 2 3
3
2 ⎭
€
sec 2 θ + sec θ − 2 = 0 €
€
sin 2 θ = cos θ −1 €
tan 2 θ −1 = 0 2sin 2 θ + 2 sin θ = 0 €
€
Find all solutions over the interval 0 ≤ θ < 360˚ . {0˚, 45˚, 180˚, 225˚} €
€
€
€
Find all solutions over the interval 0 ≤ θ < 360˚ . {0˚, 120˚, 240˚} €
Find all solutions over the interval 0 < θ ≤ 2π . {0} €
€
Find all solutions over the interval 0 ≤ θ < 360˚ . {45˚, 135˚, 225˚, 315˚} €
Find all solutions over the interval 0 ≤ θ ≤ 2π . ⎧
⎫
5π 7π
⎨0, π,
,
, 2π ⎬ ⎩
⎭
4
4
€
€