Pre-calculus
Every time you add or subtract a rotation, you get a co-terminal angle and end up in the same place so (173 + 360k)° , where k is an integer
Pre-calculus
14π/3 = 4π + 2π/3 So it would be 2π/3 ( you have 2 complete rotations + 2π/3)
Math
cosx = √3/2 and we know that the cosine is positive in quadrants I and IV I also know that cos 30° or cos π/6 = √3/2 so x = 30° or 330° OR π/6 , 11π/6 in radians then sinx = 1/2 or sinx = -1/2 (because the sine is negative in IV)
applications of vectors
first vector = (150cos62.4, 150sin62.4) 2nd vector = (114cos54.9 , 114sin 54.9) resultant = first vector + 2nd vector = (135.045 , 226.1996) magnitude = weight = √(135.045^2 + 226.1996^2) = appr 263.4
math
take a look at the first few of the Fibonacci numbers 1 1 2 3 --- term 4 5 8 13 21 --- term 8 34 55 89 144 -- term 12 ... Every term where the term number is divisible by 4, or, every 4th term will be divisible by 3 so if we have 1001 terms then term 1000 will be divisible by ...
Maths
(1+2x)^n = 1 + n(2x) + n(n-1)/2! (2x) + n(n-1)(n-2)/3! (2x)^3 + .... so (1-x)(1+2x)^2 = (1-x)(1 + n(2x) + n(n-1)/2! (2x)^2 + n(n-1)(n-2)/3! (2x)^3 + ....) = 1 + 2nx + 4n(n-1)/2 x^2 + 8n(n-1)(n-2)/6 x^3 + ... - x - 2nx^2 - 4n(n-1)/2 x^3 - .. so the only two terms with a first d...
math
let the size of the cut-out square be x cm by x cm then after bending, the base of the box will be 30-2x by 30-2x and x cm high Volume = x(30-2x)^2 = x(900 - 120x + 4x^2) = 4x^3 - 120x^2 + 900x d(Volume)/dx = 12x^2 - 240x + 900 = 0 for a max/min of Volume 12x^2 - 240x + 900 = ...
Grade 12 Calculus
central primary complementary
Algebra 2
centre is (-4,3) and the asymptotes go through the centre slopes are -5/6 y = (5/6)x + b at (-4,3) 3 = (5/6)(-4) + b b = 39/5 y = (5/6)x + 39/5 or y = (-5/6)x + b 3 = (-5/6)(-4) + b b = -1/3 y = (-5/6)x - 1/3
math
first find the equation: with slope of -3 and the point(8,7) on it, using y = mx + b 7 = -3(8) + b 31 y = -3x + 31 when x = 1 y = -3(1) + 31 = 28
Pages: <<Prev | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | Next>>
For Further Reading
