Maths Flashcards
(26 cards)
3/X =
3X(to the -1)
X to the power of 0
1
Sin /cos =
Tan
Square root of X
X to the half
Cos graph periodic
180-answer or add 360
Same for sin graph
Tab graph periodic
Add 180
Normal is
Perpendicular to tangent
F(x) + a
Vertical shift up by a
F(x +a )
Horizontal shift left by a
Af(x)
Vertical stretch , y value multiplied by a
F(ax)
Horizontal compression by factor a
-f(x)
Horizontal compression by factor a
F(-x)
Is a reflection in the y axis
Y= mx +c
C is the y intercept
Absolute value
Distance from 0 so it can’t be negative
What is sqaure root of -9
3i
PAttern if I
I 0= 1 I 1= i I 2 = -1 I 3 = -I And the pattern repeats
Right isosceles triangle
Half a square shortest sides are always equal , to get from short to long side x square root 2
Remainder theorem
If f(a) = k , k is the remainder when f(x) is divided by (X-a)
Scaline triangle
Half an equIlateral , short side opposite 30 degrees , long side opposite 90 degrees , to go from short to long you x2 , to go from long to short divide by 2 , short to medium x sqaure root 3 ,
Pythagorean triples
3,4,5
24,7,25
5,12,13
8,15,17
Pythagoras in 3D
Longest diagonal in 3D of cuboid measuring 1,2,3
Would be sqaure root of 1 squared , 2sqaured and 3 squares
Sum of interior angles of polygon and exterior
Exterior =360
Interior = n-2 x180
Quadrants
All ( everything if first quadrant is positive ) , Students ( sin positive in 2nd quadrant , Take (tan positive in 3rd quadrant , Calculus ( cos positive in 4 quadrant