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16 Cards in this Set
- Front
- Back
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Trigonometry |
mathematics dealing with the relationships between sides and angles in triangles |
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conversions (minute, degree) |
60 minutes = 1 degree 60 seconds = 1 minute minute to seconds = (xminy/100)*60 seconds to minute = x/60 |
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SOHCAHTOA |
Sin(theta) = opposite/hypotenuse Cos(theta) = adjacent/hypotenuse tan(theta) = opposite/adjacent |
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Bearings |
back bearings are always a difference of 180 degrees |
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Area of triangle |
1/2*a*b*SinC |
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Sine Rule |
Sin(A) / a = Sin(B) / b = Sin(C) / c (angle) a / Sin(a) = b / Sin(B) = c / Sin(C) (side) |
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Cosine Rule |
c^2 = a^2 + b^2 - 2*a*b*CosC (opposite side) CosC = (a^2 - b^2 - c^2) / 2*a*b (angle) |
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Sin |
Sin(Theta) = (180-Theta) Sin(Theta) = Sin(-Theta) Sin(Theta) = Sin(360 + Theta) |
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Cos |
Cos(Theta) = -cos(180-Theta) Cos(Theta) = Cos(-Theta) Cos(Theta) = Cos(360 + Theta) |
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exact values |
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Radians |
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Arc |
Arc length a = r*theta where a = arc length r = radius Area of sector Area = 1/2*r^2*theta circumference of circle = 2*pie*r Area = (theta*r^2)/2 Area of segment 1/2*r^2*(theta-Sin(theta) |
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Angle sum and difference |
tan(theta) = Sin(theta)/cos(theta) sin^2(theta) + cos^2(theta) = 1 Sin(pie/2 - theta) = Cos(theta) Cos(pie/2 - theta) = Sin(theta) |
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Sin |
Sin(a+b) = Sin(a)Cos(b) + Sin(b)Cos(a) Sin(a-b) = Sin(a)Cos(b) + Sin(a)Cos(b) |
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Cos |
Cos(a+b) = Cos(a)Cos(b) - Sin(a)Sin(b) Cos(a-b) = Cos(a)Cos(b) + Sin(a)Sin(b) |
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Tan |
Tan(a+b) = (Tan(a) + Tan(b)) / 1 - Tan(a)Tan(b) Tan(a-b) = (Tan(a) - Tan(b)) / 1+ Tan(a)Tan(b) |
