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Chapters 8-16 HL-1 Review
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Gravity
Terms in this set (35)
Starting at point P, there are two paths that lead to point Q. From point Q, there are four paths that lead to point R. From point R there are three paths that lead to point S. How many different paths lead from P to S?
24
4!
24
True or False: With permutations, order does not matter
False
True or False: With combinations, order does not matter
True
(a+b)^3
a^3 + 3a^2b + 3ab^2 + b^3
The first step in mathematical induction
Prove the base case (P1 or P0)
Conclusion statement of a proof in a mathematical induction
If Pa is true, and if Pk+1 is true whenever Pk is true, then Pn is true for all n≥a
Π radians
180 degrees
To convert from radians to degrees
multiply by 180/π
Area of a sector formula if the angle is in radians
A= 1/2 θr^2
Equation of a circle with center (0,0) and radius r
x^2 + y^2 = 1
cos 210⁰
-√3/2
Formula to find area of a triangle
1/2 absinC
A form of the cosine rule
b^2 + c^2 - a^2 / 2bc
sine rule
sinA/a = sinB/b = sinC/c
Has a maximum point and minimum point
Period of a general sine and cosine function
2π
Period of a general tangent function
π
cscx
1/sinx
sin^2θ + cos^θ =
1
tanθ =
sinθ / cosθ
1 + cot^2θ =
csc^2θ
Which double angle formula is incorrect:
cos2θ =
cos^2θ - sin^2θ
1 - 2sin^2 θ
2sin^2θ - 1
2sin^2θ - 1
Trigonometric product
The product of a sequence of trigonometric expressions
Scalars
Quantities that only have a magnitude
Vectors
Quantities that have a magnitude and direction
Unit vector
Any vector that has a length of one unit
When are two non-zero vectors parallel?
If and only if one is a scalar multiple of the other
Area of a triangle with defining vectors a and b
1/2 |a x b| units^2
When talking about the angle between two lines:
We agree to talk about the acute angle between them
Lines are _______ if they lie in the same plane
coplanar
On the complex plane, the x-axis is called the ______ axis, and the y-axis is called the ______ axis.
real, imaginary
Cartesian form of a complex number
z = a + bi
Polar form of a complex number
z = |z| cisθ
nth roots or unity
z^n = 1
OTHER SETS BY THIS CREATOR
90 degree increments unit circle, 30 degree increm…
99 terms
60 and 45 degree increments unit circle
48 terms
30 degree increments unit circle
24 terms
90 degree increments unit circle
27 terms