C1 and C2 Flashcards
How to find the gradient of line AB
(y2-y1)/(x2-x1)
Find the mid point of AB
(x1+x2)/2 and (y1+y2)/2
Find the distance/length of AB
√(x2-x1)^2 + (y2-y1)^2
Find the perpendicular gradient of AB
m2 = -1/m1
Formula for finding equation of a line
y-y1=m(x-x1)
Formula for finding equation of line AB
(y-y1)/(y2-y1) = (x-x1)/(x2-x1)
What method do you use when finding the intersection of pairs of lines?
Simultaneous Equation
How do you know if two lines are parallel?
The gradients will equal each other
How do you know if two lines are perpendicular?
Multiplying their gradients will equal -1
m1 * m2 = - 1
nCr = …
n! / (n-r)!r!
sin θ =
Opposite / Hypotenuse
cos θ =
Adjacent / Hypotenuse
tan θ =
Opposite / Adjacent
What is the sine rule to find side length?
For any triangle ABC:
a/sin A = b/sin B = c/sin C
What is the sine rule to find angle?
sin A/a = sin B/b = sin C/c
What is the cosine rule to find side length?
a^2 = b^2 + c^2 - 2bc cos A
What is the cosine rule to find angle?
cos A = (b^2 + c^2 - a^2)/2bc
What is the formula for finding the area of a triangle using sin?
Area =1/2 bc sin A
What are the Trig Identities?
1) Sin^2(x) + Cos^2(x) = 1
2) Tan (x) = Sin (x) / Cos (x)
Prove that Cos 30 = √3/2. Using an equilateral triangle.
Using Pythag, then using Sohcahtoa.
Check page 98
Prove that Sin 45 = 1/√ 2.
Using a right angled triangle
Check page 99
How do you find inflection?
Differentiate twice
