Trig
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cosθ 90°
0
sinθ 0°
0
tanθ 0°
0
cosθ 0°
1
sinθ 90°
1
tanθ 45°
1
cosθ 60°
1/2
sinθ 30°
1/2
Negative θ (clockwise)
Add 360° until θ is positive, once θ is positive use the reference guide.
QI
sin + cos + tan +
QII
sin + cos - tan -
QIV
sin - cos + tan -
QIII
sin - cos - tan +
If θ ∈ QII
then the reference angle (theta hat) = 180°-θ
If θ ∈ QIII
then the reference angle (theta hat) = θ-180°
If θ ∈ QIV
then the reference angle (theta hat)=360°-θ
If θ ∈ QI
then the reference angle(theta hat) = θ
tanθ 90°
undefined
cosθ 45°
√2/2
sinθ 45°
√2/2
tanθ 60°
√3
cosθ 30°
√3/2
sinθ 60°
√3/2
tanθ 30°
√3/3