Flashcards
Untitled
Cards in this deck (25)
- 1Math's P2Analytical Geometry
- 2Gradient Formula: y2-y1 x2-x1Gradient of Parallel Line:
M1=M2 - 3Gradient of Perpendicular lines: M1 . M2 = -1Distance formula:
d= (x-x) +(y-y) - 4Angle of inclination: Tan = MCircle with a Centre at the Origin:
x + y = r - 5Circle with Centre (a ; b) : (x-a) +(y-b) = rTrigonometry
- 6Sin x = Opposite HypotenuseCos x =
Adjacent
Hypotenuse - 7Tan x : Opposite AdjacentTan x =
Sin x
Cos x - 8Sin x = Cos(90-x)Cos x =
Sin(90-x) - 9( - x) : Sin(-X) = -Sin(x) Cos(-X) = Cos(x) Tan(-x) = -Tan (x)(x -360) =
Sin(x-360) = Sin(x)
Cos(x-360) = Cos(x)
Tan(x-360) = Tan(x) - 10(-180-x) : Sin(-180-x) = Sin(x) Cos(-180-x) = -Cos(x) Tan(-180-x) = -Tan(x)(x-180) :
Sin(x-180) = -Sin(x)
Cos(x-180) = -Cos(x)
Tan (x-180) = Tan(x) - 11Square Identities : Sin (x) + Cos (x) = 1 1 - Sin (x) = Cos (x) 1 - Cos (x) = Sin (x)Compound Angle :
Sin(a+b) = Sin(a)Cos(b) + Cos(a)Sin(b)
Cos(a+b) = Cos(a)Cos(b) - Sin(a)Sin(b) - 12Double Angle : Sin2(a) = 2Sin(a)Cos(a) Cos2(a) = Cos (a) - Sin (a) = 2Cos (a) -1 = 1- 2Sin (a)Sin Rule:
Sin(A) = Sin(B) = Sin(C)
a b c - 13The Cosine Rule : a = b + c -2bcCos(A)The Area Rule :
Area = 1/2 a.bSin(A) - 14Trig Graph : y = a Sin b(x+c) + d a = amplitude b = period c = shift left or right d = shift up of downAmplitude :
Max - Min
2 - 15Period : 360 or 180 b bProportionality :
- 16In triangle ACD : AB = AE CD ED Then BE // CDCircle Geometry :
- 17Theorem 1 : The line segment that is the center of the circle with the center of the chord connected is perpendicular to the chord.Theorem 2 :
The center angle on a circle is 2x the angle at the circumference subtended by the same chord. - 18Theorem 3 : The circumference angle subtended by the center line is = 90Theorem 4 :
The perimeter angles in the same circle segment are equal. - 19Theorem 5 : The opposite angles of a cyclic quadrilateral are supplementary.Theorem 6 :
The outside angle of a cyclic quadrilateral is equal to the opposite interior angle. - 20Theorem 7 : A tangent to a circle is perpendicular to the radiusTheorem 8 :
If two tangents from the same point outside the circle are drawn to the circle, the tangents are equal. - 21Theorem 9 : The angle between the tangents to a circle and the chord extending from the point of contact is equal to the angle in the opposite circle segment.Statistics
- 22Mean : The sum of the set of data divided by the number of data items.Median :
The middle data item when data is arranged in order. - 23Mode : The most common data item.Quartiles :
Divides the set of data into 4 equal parts. Containing 25% each part. - 24IQR : The difference between the upper and lower quartile.Positively skewed :
Median is closer to Q1 - 25Negatively Skewed : Median is closer to Q3
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- Flashcards on Untitled, created by Megan Hugo on 06/09/2023.
- Created by
- Megan Hugo · Sep 2023
- Updated
- Sep 6, 2023
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